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Finding the Third Proportional to 71,920.13 and 108,897.75

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Solution

The third proportional to 71,920.13 and 108,897.75 is: 164,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,920.13 : 108,897.75 = 108,897.75 : x
  2. Step 2: Convert to fraction form
    71,920.13/108,897.75 = 108,897.75/x
  3. Step 3: Cross multiply
    71,920.13x = 108,897.75 × 108,897.75
  4. Step 4: Simplify right side
    71,920.13x = 11,858,719,955.06
  5. Step 5: Solve for x
    x = 11,858,719,955.06/71,920.13
  6. Step 6: Final answer
    x = 164,887.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.