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Finding the Third Proportional to 60,291 and 130,958

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Solution

The third proportional to 60,291 and 130,958 is: 284,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,291 : 130,958 = 130,958 : x
  2. Step 2: Convert to fraction form
    60,291/130,958 = 130,958/x
  3. Step 3: Cross multiply
    60,291x = 130,958 × 130,958
  4. Step 4: Simplify right side
    60,291x = 17,149,997,764
  5. Step 5: Solve for x
    x = 17,149,997,764/60,291
  6. Step 6: Final answer
    x = 284,453.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.