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Finding the Third Proportional to 67,294.13 and 97,809.19

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Solution

The third proportional to 67,294.13 and 97,809.19 is: 142,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,294.13 : 97,809.19 = 97,809.19 : x
  2. Step 2: Convert to fraction form
    67,294.13/97,809.19 = 97,809.19/x
  3. Step 3: Cross multiply
    67,294.13x = 97,809.19 × 97,809.19
  4. Step 4: Simplify right side
    67,294.13x = 9,566,637,159.41
  5. Step 5: Solve for x
    x = 9,566,637,159.41/67,294.13
  6. Step 6: Final answer
    x = 142,161.55

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.