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Finding the Third Proportional to 71,560 and 105,151

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Solution

The third proportional to 71,560 and 105,151 is: 154,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,560 : 105,151 = 105,151 : x
  2. Step 2: Convert to fraction form
    71,560/105,151 = 105,151/x
  3. Step 3: Cross multiply
    71,560x = 105,151 × 105,151
  4. Step 4: Simplify right side
    71,560x = 11,056,732,801
  5. Step 5: Solve for x
    x = 11,056,732,801/71,560
  6. Step 6: Final answer
    x = 154,509.96

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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.