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Finding the Third Proportional to 81,160 and 124,824

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Solution

The third proportional to 81,160 and 124,824 is: 191,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,160 : 124,824 = 124,824 : x
  2. Step 2: Convert to fraction form
    81,160/124,824 = 124,824/x
  3. Step 3: Cross multiply
    81,160x = 124,824 × 124,824
  4. Step 4: Simplify right side
    81,160x = 15,581,030,976
  5. Step 5: Solve for x
    x = 15,581,030,976/81,160
  6. Step 6: Final answer
    x = 191,979.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.