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Finding the Third Proportional to 29,127 and 63,015

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Solution

The third proportional to 29,127 and 63,015 is: 136,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,127 : 63,015 = 63,015 : x
  2. Step 2: Convert to fraction form
    29,127/63,015 = 63,015/x
  3. Step 3: Cross multiply
    29,127x = 63,015 × 63,015
  4. Step 4: Simplify right side
    29,127x = 3,970,890,225
  5. Step 5: Solve for x
    x = 3,970,890,225/29,127
  6. Step 6: Final answer
    x = 136,330.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.