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Finding the Third Proportional to 71,999 and 101,346

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Solution

The third proportional to 71,999 and 101,346 is: 142,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,999 : 101,346 = 101,346 : x
  2. Step 2: Convert to fraction form
    71,999/101,346 = 101,346/x
  3. Step 3: Cross multiply
    71,999x = 101,346 × 101,346
  4. Step 4: Simplify right side
    71,999x = 10,271,011,716
  5. Step 5: Solve for x
    x = 10,271,011,716/71,999
  6. Step 6: Final answer
    x = 142,654.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.