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Finding the Third Proportional to 58,308.75 and 124,909.31

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Solution

The third proportional to 58,308.75 and 124,909.31 is: 267,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,308.75 : 124,909.31 = 124,909.31 : x
  2. Step 2: Convert to fraction form
    58,308.75/124,909.31 = 124,909.31/x
  3. Step 3: Cross multiply
    58,308.75x = 124,909.31 × 124,909.31
  4. Step 4: Simplify right side
    58,308.75x = 15,602,336,349.22
  5. Step 5: Solve for x
    x = 15,602,336,349.22/58,308.75
  6. Step 6: Final answer
    x = 267,581.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.