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Finding the Third Proportional to 127,776 and 185,717

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Solution

The third proportional to 127,776 and 185,717 is: 269,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,776 : 185,717 = 185,717 : x
  2. Step 2: Convert to fraction form
    127,776/185,717 = 185,717/x
  3. Step 3: Cross multiply
    127,776x = 185,717 × 185,717
  4. Step 4: Simplify right side
    127,776x = 34,490,804,089
  5. Step 5: Solve for x
    x = 34,490,804,089/127,776
  6. Step 6: Final answer
    x = 269,931.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.