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Finding the Third Proportional to 62,049 and 94,909.50

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Solution

The third proportional to 62,049 and 94,909.50 is: 145,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,049 : 94,909.50 = 94,909.50 : x
  2. Step 2: Convert to fraction form
    62,049/94,909.50 = 94,909.50/x
  3. Step 3: Cross multiply
    62,049x = 94,909.50 × 94,909.50
  4. Step 4: Simplify right side
    62,049x = 9,007,813,190.25
  5. Step 5: Solve for x
    x = 9,007,813,190.25/62,049
  6. Step 6: Final answer
    x = 145,172.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.