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Finding the Third Proportional to 56,711.25 and 123,798.75

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Solution

The third proportional to 56,711.25 and 123,798.75 is: 270,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,711.25 : 123,798.75 = 123,798.75 : x
  2. Step 2: Convert to fraction form
    56,711.25/123,798.75 = 123,798.75/x
  3. Step 3: Cross multiply
    56,711.25x = 123,798.75 × 123,798.75
  4. Step 4: Simplify right side
    56,711.25x = 15,326,130,501.56
  5. Step 5: Solve for x
    x = 15,326,130,501.56/56,711.25
  6. Step 6: Final answer
    x = 270,248.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.