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Finding the Third Proportional to 75,433.50 and 164,881.13

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Solution

The third proportional to 75,433.50 and 164,881.13 is: 360,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433.50 : 164,881.13 = 164,881.13 : x
  2. Step 2: Convert to fraction form
    75,433.50/164,881.13 = 164,881.13/x
  3. Step 3: Cross multiply
    75,433.50x = 164,881.13 × 164,881.13
  4. Step 4: Simplify right side
    75,433.50x = 27,185,785,381.27
  5. Step 5: Solve for x
    x = 27,185,785,381.27/75,433.50
  6. Step 6: Final answer
    x = 360,394.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.