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Finding the Third Proportional to 112,983.19 and 174,943.13

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Solution

The third proportional to 112,983.19 and 174,943.13 is: 270,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,983.19 : 174,943.13 = 174,943.13 : x
  2. Step 2: Convert to fraction form
    112,983.19/174,943.13 = 174,943.13/x
  3. Step 3: Cross multiply
    112,983.19x = 174,943.13 × 174,943.13
  4. Step 4: Simplify right side
    112,983.19x = 30,605,096,984.77
  5. Step 5: Solve for x
    x = 30,605,096,984.77/112,983.19
  6. Step 6: Final answer
    x = 270,881.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.