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Finding the Third Proportional to 127,098 and 186,705

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Solution

The third proportional to 127,098 and 186,705 is: 274,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,098 : 186,705 = 186,705 : x
  2. Step 2: Convert to fraction form
    127,098/186,705 = 186,705/x
  3. Step 3: Cross multiply
    127,098x = 186,705 × 186,705
  4. Step 4: Simplify right side
    127,098x = 34,858,757,025
  5. Step 5: Solve for x
    x = 34,858,757,025/127,098
  6. Step 6: Final answer
    x = 274,266.76

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Why These Related Problems?

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