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Finding the Third Proportional to 58,452.47 and 127,140.47

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Solution

The third proportional to 58,452.47 and 127,140.47 is: 276,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,452.47 : 127,140.47 = 127,140.47 : x
  2. Step 2: Convert to fraction form
    58,452.47/127,140.47 = 127,140.47/x
  3. Step 3: Cross multiply
    58,452.47x = 127,140.47 × 127,140.47
  4. Step 4: Simplify right side
    58,452.47x = 16,164,698,793.97
  5. Step 5: Solve for x
    x = 16,164,698,793.97/58,452.47
  6. Step 6: Final answer
    x = 276,544.33

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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.