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Finding the Third Proportional to 71,472 and 105,068.25

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Solution

The third proportional to 71,472 and 105,068.25 is: 154,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,472 : 105,068.25 = 105,068.25 : x
  2. Step 2: Convert to fraction form
    71,472/105,068.25 = 105,068.25/x
  3. Step 3: Cross multiply
    71,472x = 105,068.25 × 105,068.25
  4. Step 4: Simplify right side
    71,472x = 11,039,337,158.06
  5. Step 5: Solve for x
    x = 11,039,337,158.06/71,472
  6. Step 6: Final answer
    x = 154,456.81

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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.