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Finding the Third Proportional to 57,264.47 and 87,377.48

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Solution

The third proportional to 57,264.47 and 87,377.48 is: 133,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,264.47 : 87,377.48 = 87,377.48 : x
  2. Step 2: Convert to fraction form
    57,264.47/87,377.48 = 87,377.48/x
  3. Step 3: Cross multiply
    57,264.47x = 87,377.48 × 87,377.48
  4. Step 4: Simplify right side
    57,264.47x = 7,634,824,775.70
  5. Step 5: Solve for x
    x = 7,634,824,775.70/57,264.47
  6. Step 6: Final answer
    x = 133,325.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.