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Finding the Third Proportional to 127,044 and 186,760

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Solution

The third proportional to 127,044 and 186,760 is: 274,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,044 : 186,760 = 186,760 : x
  2. Step 2: Convert to fraction form
    127,044/186,760 = 186,760/x
  3. Step 3: Cross multiply
    127,044x = 186,760 × 186,760
  4. Step 4: Simplify right side
    127,044x = 34,879,297,600
  5. Step 5: Solve for x
    x = 34,879,297,600/127,044
  6. Step 6: Final answer
    x = 274,545.02

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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.