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Finding the Third Proportional to 71,337 and 101,902.50

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Solution

The third proportional to 71,337 and 101,902.50 is: 145,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,337 : 101,902.50 = 101,902.50 : x
  2. Step 2: Convert to fraction form
    71,337/101,902.50 = 101,902.50/x
  3. Step 3: Cross multiply
    71,337x = 101,902.50 × 101,902.50
  4. Step 4: Simplify right side
    71,337x = 10,384,119,506.25
  5. Step 5: Solve for x
    x = 10,384,119,506.25/71,337
  6. Step 6: Final answer
    x = 145,564.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.