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Finding the Third Proportional to 127,118 and 186,426

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Solution

The third proportional to 127,118 and 186,426 is: 273,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,118 : 186,426 = 186,426 : x
  2. Step 2: Convert to fraction form
    127,118/186,426 = 186,426/x
  3. Step 3: Cross multiply
    127,118x = 186,426 × 186,426
  4. Step 4: Simplify right side
    127,118x = 34,754,653,476
  5. Step 5: Solve for x
    x = 34,754,653,476/127,118
  6. Step 6: Final answer
    x = 273,404.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.