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Finding the Third Proportional to 67,250 and 97,707

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Solution

The third proportional to 67,250 and 97,707 is: 141,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,250 : 97,707 = 97,707 : x
  2. Step 2: Convert to fraction form
    67,250/97,707 = 97,707/x
  3. Step 3: Cross multiply
    67,250x = 97,707 × 97,707
  4. Step 4: Simplify right side
    67,250x = 9,546,657,849
  5. Step 5: Solve for x
    x = 9,546,657,849/67,250
  6. Step 6: Final answer
    x = 141,957.74

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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.