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Finding the Third Proportional to 49,655 and 87,646

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Solution

The third proportional to 49,655 and 87,646 is: 154,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,655 : 87,646 = 87,646 : x
  2. Step 2: Convert to fraction form
    49,655/87,646 = 87,646/x
  3. Step 3: Cross multiply
    49,655x = 87,646 × 87,646
  4. Step 4: Simplify right side
    49,655x = 7,681,821,316
  5. Step 5: Solve for x
    x = 7,681,821,316/49,655
  6. Step 6: Final answer
    x = 154,703.88

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.