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Finding the Third Proportional to 62,127 and 84,627

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Solution

The third proportional to 62,127 and 84,627 is: 115,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,127 : 84,627 = 84,627 : x
  2. Step 2: Convert to fraction form
    62,127/84,627 = 84,627/x
  3. Step 3: Cross multiply
    62,127x = 84,627 × 84,627
  4. Step 4: Simplify right side
    62,127x = 7,161,729,129
  5. Step 5: Solve for x
    x = 7,161,729,129/62,127
  6. Step 6: Final answer
    x = 115,275.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.