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Finding the Third Proportional to 124,395 and 187,216.50

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Solution

The third proportional to 124,395 and 187,216.50 is: 281,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,395 : 187,216.50 = 187,216.50 : x
  2. Step 2: Convert to fraction form
    124,395/187,216.50 = 187,216.50/x
  3. Step 3: Cross multiply
    124,395x = 187,216.50 × 187,216.50
  4. Step 4: Simplify right side
    124,395x = 35,050,017,872.25
  5. Step 5: Solve for x
    x = 35,050,017,872.25/124,395
  6. Step 6: Final answer
    x = 281,763.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.