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Finding the Third Proportional to 106,566 and 159,117

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Solution

The third proportional to 106,566 and 159,117 is: 237,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,566 : 159,117 = 159,117 : x
  2. Step 2: Convert to fraction form
    106,566/159,117 = 159,117/x
  3. Step 3: Cross multiply
    106,566x = 159,117 × 159,117
  4. Step 4: Simplify right side
    106,566x = 25,318,219,689
  5. Step 5: Solve for x
    x = 25,318,219,689/106,566
  6. Step 6: Final answer
    x = 237,582.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.