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Finding the Third Proportional to 60,645.19 and 86,839.31

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Solution

The third proportional to 60,645.19 and 86,839.31 is: 124,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,645.19 : 86,839.31 = 86,839.31 : x
  2. Step 2: Convert to fraction form
    60,645.19/86,839.31 = 86,839.31/x
  3. Step 3: Cross multiply
    60,645.19x = 86,839.31 × 86,839.31
  4. Step 4: Simplify right side
    60,645.19x = 7,541,066,195.47
  5. Step 5: Solve for x
    x = 7,541,066,195.47/60,645.19
  6. Step 6: Final answer
    x = 124,347.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.