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Finding the Third Proportional to 95,528 and 207,646

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Solution

The third proportional to 95,528 and 207,646 is: 451,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,528 : 207,646 = 207,646 : x
  2. Step 2: Convert to fraction form
    95,528/207,646 = 207,646/x
  3. Step 3: Cross multiply
    95,528x = 207,646 × 207,646
  4. Step 4: Simplify right side
    95,528x = 43,116,861,316
  5. Step 5: Solve for x
    x = 43,116,861,316/95,528
  6. Step 6: Final answer
    x = 451,353.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.