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Finding the Third Proportional to 125,867.25 and 175,981.50

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Solution

The third proportional to 125,867.25 and 175,981.50 is: 246,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,867.25 : 175,981.50 = 175,981.50 : x
  2. Step 2: Convert to fraction form
    125,867.25/175,981.50 = 175,981.50/x
  3. Step 3: Cross multiply
    125,867.25x = 175,981.50 × 175,981.50
  4. Step 4: Simplify right side
    125,867.25x = 30,969,488,342.25
  5. Step 5: Solve for x
    x = 30,969,488,342.25/125,867.25
  6. Step 6: Final answer
    x = 246,048.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.