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Finding the Third Proportional to 56,987 and 147,934

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Solution

The third proportional to 56,987 and 147,934 is: 384,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,987 : 147,934 = 147,934 : x
  2. Step 2: Convert to fraction form
    56,987/147,934 = 147,934/x
  3. Step 3: Cross multiply
    56,987x = 147,934 × 147,934
  4. Step 4: Simplify right side
    56,987x = 21,884,468,356
  5. Step 5: Solve for x
    x = 21,884,468,356/56,987
  6. Step 6: Final answer
    x = 384,025.63

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.