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Finding the Third Proportional to 71,481 and 105,142

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Solution

The third proportional to 71,481 and 105,142 is: 154,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,481 : 105,142 = 105,142 : x
  2. Step 2: Convert to fraction form
    71,481/105,142 = 105,142/x
  3. Step 3: Cross multiply
    71,481x = 105,142 × 105,142
  4. Step 4: Simplify right side
    71,481x = 11,054,840,164
  5. Step 5: Solve for x
    x = 11,054,840,164/71,481
  6. Step 6: Final answer
    x = 154,654.25

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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.