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Finding the Third Proportional to 111,787.50 and 169,126.50

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Solution

The third proportional to 111,787.50 and 169,126.50 is: 255,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,787.50 : 169,126.50 = 169,126.50 : x
  2. Step 2: Convert to fraction form
    111,787.50/169,126.50 = 169,126.50/x
  3. Step 3: Cross multiply
    111,787.50x = 169,126.50 × 169,126.50
  4. Step 4: Simplify right side
    111,787.50x = 28,603,773,002.25
  5. Step 5: Solve for x
    x = 28,603,773,002.25/111,787.50
  6. Step 6: Final answer
    x = 255,876.31

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