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Finding the Third Proportional to 60,458.59 and 131,271.26

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Solution

The third proportional to 60,458.59 and 131,271.26 is: 285,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,458.59 : 131,271.26 = 131,271.26 : x
  2. Step 2: Convert to fraction form
    60,458.59/131,271.26 = 131,271.26/x
  3. Step 3: Cross multiply
    60,458.59x = 131,271.26 × 131,271.26
  4. Step 4: Simplify right side
    60,458.59x = 17,232,143,127.68
  5. Step 5: Solve for x
    x = 17,232,143,127.68/60,458.59
  6. Step 6: Final answer
    x = 285,023.90

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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.