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Finding the Third Proportional to 109,688 and 165,882

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Solution

The third proportional to 109,688 and 165,882 is: 250,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,688 : 165,882 = 165,882 : x
  2. Step 2: Convert to fraction form
    109,688/165,882 = 165,882/x
  3. Step 3: Cross multiply
    109,688x = 165,882 × 165,882
  4. Step 4: Simplify right side
    109,688x = 27,516,837,924
  5. Step 5: Solve for x
    x = 27,516,837,924/109,688
  6. Step 6: Final answer
    x = 250,864.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.