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Finding the Third Proportional to 95,541 and 202,459

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Solution

The third proportional to 95,541 and 202,459 is: 429,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,541 : 202,459 = 202,459 : x
  2. Step 2: Convert to fraction form
    95,541/202,459 = 202,459/x
  3. Step 3: Cross multiply
    95,541x = 202,459 × 202,459
  4. Step 4: Simplify right side
    95,541x = 40,989,646,681
  5. Step 5: Solve for x
    x = 40,989,646,681/95,541
  6. Step 6: Final answer
    x = 429,026.77

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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.