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Finding the Third Proportional to 125,931 and 187,276.50

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Solution

The third proportional to 125,931 and 187,276.50 is: 278,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,931 : 187,276.50 = 187,276.50 : x
  2. Step 2: Convert to fraction form
    125,931/187,276.50 = 187,276.50/x
  3. Step 3: Cross multiply
    125,931x = 187,276.50 × 187,276.50
  4. Step 4: Simplify right side
    125,931x = 35,072,487,452.25
  5. Step 5: Solve for x
    x = 35,072,487,452.25/125,931
  6. Step 6: Final answer
    x = 278,505.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.