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Finding the Third Proportional to 65,427 and 100,707

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Solution

The third proportional to 65,427 and 100,707 is: 155,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,427 : 100,707 = 100,707 : x
  2. Step 2: Convert to fraction form
    65,427/100,707 = 100,707/x
  3. Step 3: Cross multiply
    65,427x = 100,707 × 100,707
  4. Step 4: Simplify right side
    65,427x = 10,141,899,849
  5. Step 5: Solve for x
    x = 10,141,899,849/65,427
  6. Step 6: Final answer
    x = 155,010.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.