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Finding the Third Proportional to 67,460 and 99,002.75

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Solution

The third proportional to 67,460 and 99,002.75 is: 145,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,460 : 99,002.75 = 99,002.75 : x
  2. Step 2: Convert to fraction form
    67,460/99,002.75 = 99,002.75/x
  3. Step 3: Cross multiply
    67,460x = 99,002.75 × 99,002.75
  4. Step 4: Simplify right side
    67,460x = 9,801,544,507.56
  5. Step 5: Solve for x
    x = 9,801,544,507.56/67,460
  6. Step 6: Final answer
    x = 145,294.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.