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Finding the Third Proportional to 91,884 and 170,646

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Solution

The third proportional to 91,884 and 170,646 is: 316,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,884 : 170,646 = 170,646 : x
  2. Step 2: Convert to fraction form
    91,884/170,646 = 170,646/x
  3. Step 3: Cross multiply
    91,884x = 170,646 × 170,646
  4. Step 4: Simplify right side
    91,884x = 29,120,057,316
  5. Step 5: Solve for x
    x = 29,120,057,316/91,884
  6. Step 6: Final answer
    x = 316,921.96

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.