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Finding the Third Proportional to 58,559 and 127,810

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Solution

The third proportional to 58,559 and 127,810 is: 278,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,559 : 127,810 = 127,810 : x
  2. Step 2: Convert to fraction form
    58,559/127,810 = 127,810/x
  3. Step 3: Cross multiply
    58,559x = 127,810 × 127,810
  4. Step 4: Simplify right side
    58,559x = 16,335,396,100
  5. Step 5: Solve for x
    x = 16,335,396,100/58,559
  6. Step 6: Final answer
    x = 278,956.20

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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.