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Finding the Third Proportional to 56,711.25 and 124,276.50

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Solution

The third proportional to 56,711.25 and 124,276.50 is: 272,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,711.25 : 124,276.50 = 124,276.50 : x
  2. Step 2: Convert to fraction form
    56,711.25/124,276.50 = 124,276.50/x
  3. Step 3: Cross multiply
    56,711.25x = 124,276.50 × 124,276.50
  4. Step 4: Simplify right side
    56,711.25x = 15,444,648,452.25
  5. Step 5: Solve for x
    x = 15,444,648,452.25/56,711.25
  6. Step 6: Final answer
    x = 272,338.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.