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Finding the Third Proportional to 71,510 and 107,127

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Solution

The third proportional to 71,510 and 107,127 is: 160,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,510 : 107,127 = 107,127 : x
  2. Step 2: Convert to fraction form
    71,510/107,127 = 107,127/x
  3. Step 3: Cross multiply
    71,510x = 107,127 × 107,127
  4. Step 4: Simplify right side
    71,510x = 11,476,194,129
  5. Step 5: Solve for x
    x = 11,476,194,129/71,510
  6. Step 6: Final answer
    x = 160,483.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.