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Finding the Third Proportional to 75,340.13 and 110,418.19

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Solution

The third proportional to 75,340.13 and 110,418.19 is: 161,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340.13 : 110,418.19 = 110,418.19 : x
  2. Step 2: Convert to fraction form
    75,340.13/110,418.19 = 110,418.19/x
  3. Step 3: Cross multiply
    75,340.13x = 110,418.19 × 110,418.19
  4. Step 4: Simplify right side
    75,340.13x = 12,192,176,130.79
  5. Step 5: Solve for x
    x = 12,192,176,130.79/75,340.13
  6. Step 6: Final answer
    x = 161,828.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.