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Finding the Third Proportional to 58,413 and 127,080

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Solution

The third proportional to 58,413 and 127,080 is: 276,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,413 : 127,080 = 127,080 : x
  2. Step 2: Convert to fraction form
    58,413/127,080 = 127,080/x
  3. Step 3: Cross multiply
    58,413x = 127,080 × 127,080
  4. Step 4: Simplify right side
    58,413x = 16,149,326,400
  5. Step 5: Solve for x
    x = 16,149,326,400/58,413
  6. Step 6: Final answer
    x = 276,468.02

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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.