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Finding the Third Proportional to 62,506 and 83,498

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Solution

The third proportional to 62,506 and 83,498 is: 111,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,506 : 83,498 = 83,498 : x
  2. Step 2: Convert to fraction form
    62,506/83,498 = 83,498/x
  3. Step 3: Cross multiply
    62,506x = 83,498 × 83,498
  4. Step 4: Simplify right side
    62,506x = 6,971,916,004
  5. Step 5: Solve for x
    x = 6,971,916,004/62,506
  6. Step 6: Final answer
    x = 111,539.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.