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Finding the Third Proportional to 62,319.50 and 135,209

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Solution

The third proportional to 62,319.50 and 135,209 is: 293,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,319.50 : 135,209 = 135,209 : x
  2. Step 2: Convert to fraction form
    62,319.50/135,209 = 135,209/x
  3. Step 3: Cross multiply
    62,319.50x = 135,209 × 135,209
  4. Step 4: Simplify right side
    62,319.50x = 18,281,473,681
  5. Step 5: Solve for x
    x = 18,281,473,681/62,319.50
  6. Step 6: Final answer
    x = 293,350.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.