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Finding the Third Proportional to 87,688 and 189,389

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Solution

The third proportional to 87,688 and 189,389 is: 409,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,688 : 189,389 = 189,389 : x
  2. Step 2: Convert to fraction form
    87,688/189,389 = 189,389/x
  3. Step 3: Cross multiply
    87,688x = 189,389 × 189,389
  4. Step 4: Simplify right side
    87,688x = 35,868,193,321
  5. Step 5: Solve for x
    x = 35,868,193,321/87,688
  6. Step 6: Final answer
    x = 409,043.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.