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Finding the Third Proportional to 95,838 and 201,602

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Solution

The third proportional to 95,838 and 201,602 is: 424,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,838 : 201,602 = 201,602 : x
  2. Step 2: Convert to fraction form
    95,838/201,602 = 201,602/x
  3. Step 3: Cross multiply
    95,838x = 201,602 × 201,602
  4. Step 4: Simplify right side
    95,838x = 40,643,366,404
  5. Step 5: Solve for x
    x = 40,643,366,404/95,838
  6. Step 6: Final answer
    x = 424,084.04

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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.