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Finding the Third Proportional to 95,810 and 201,541

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Solution

The third proportional to 95,810 and 201,541 is: 423,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,810 : 201,541 = 201,541 : x
  2. Step 2: Convert to fraction form
    95,810/201,541 = 201,541/x
  3. Step 3: Cross multiply
    95,810x = 201,541 × 201,541
  4. Step 4: Simplify right side
    95,810x = 40,618,774,681
  5. Step 5: Solve for x
    x = 40,618,774,681/95,810
  6. Step 6: Final answer
    x = 423,951.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.