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Finding the Third Proportional to 95,534 and 202,447

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Solution

The third proportional to 95,534 and 202,447 is: 429,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,534 : 202,447 = 202,447 : x
  2. Step 2: Convert to fraction form
    95,534/202,447 = 202,447/x
  3. Step 3: Cross multiply
    95,534x = 202,447 × 202,447
  4. Step 4: Simplify right side
    95,534x = 40,984,787,809
  5. Step 5: Solve for x
    x = 40,984,787,809/95,534
  6. Step 6: Final answer
    x = 429,007.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.