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Finding the Third Proportional to 35,129 and 62,461

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Solution

The third proportional to 35,129 and 62,461 is: 111,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,129 : 62,461 = 62,461 : x
  2. Step 2: Convert to fraction form
    35,129/62,461 = 62,461/x
  3. Step 3: Cross multiply
    35,129x = 62,461 × 62,461
  4. Step 4: Simplify right side
    35,129x = 3,901,376,521
  5. Step 5: Solve for x
    x = 3,901,376,521/35,129
  6. Step 6: Final answer
    x = 111,058.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.