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Finding the Third Proportional to 67,527 and 125,416.50

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Solution

The third proportional to 67,527 and 125,416.50 is: 232,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,527 : 125,416.50 = 125,416.50 : x
  2. Step 2: Convert to fraction form
    67,527/125,416.50 = 125,416.50/x
  3. Step 3: Cross multiply
    67,527x = 125,416.50 × 125,416.50
  4. Step 4: Simplify right side
    67,527x = 15,729,298,472.25
  5. Step 5: Solve for x
    x = 15,729,298,472.25/67,527
  6. Step 6: Final answer
    x = 232,933.47

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.