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Finding the Third Proportional to 106,386 and 161,883

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Solution

The third proportional to 106,386 and 161,883 is: 246,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,386 : 161,883 = 161,883 : x
  2. Step 2: Convert to fraction form
    106,386/161,883 = 161,883/x
  3. Step 3: Cross multiply
    106,386x = 161,883 × 161,883
  4. Step 4: Simplify right side
    106,386x = 26,206,105,689
  5. Step 5: Solve for x
    x = 26,206,105,689/106,386
  6. Step 6: Final answer
    x = 246,330.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.