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Finding the Third Proportional to 95,826 and 201,585

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Solution

The third proportional to 95,826 and 201,585 is: 424,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,826 : 201,585 = 201,585 : x
  2. Step 2: Convert to fraction form
    95,826/201,585 = 201,585/x
  3. Step 3: Cross multiply
    95,826x = 201,585 × 201,585
  4. Step 4: Simplify right side
    95,826x = 40,636,512,225
  5. Step 5: Solve for x
    x = 40,636,512,225/95,826
  6. Step 6: Final answer
    x = 424,065.62

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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.