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Finding the Third Proportional to 60,580 and 127,775

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Solution

The third proportional to 60,580 and 127,775 is: 269,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,580 : 127,775 = 127,775 : x
  2. Step 2: Convert to fraction form
    60,580/127,775 = 127,775/x
  3. Step 3: Cross multiply
    60,580x = 127,775 × 127,775
  4. Step 4: Simplify right side
    60,580x = 16,326,450,625
  5. Step 5: Solve for x
    x = 16,326,450,625/60,580
  6. Step 6: Final answer
    x = 269,502.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.