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Finding the Third Proportional to 42,196 and 90,650

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Solution

The third proportional to 42,196 and 90,650 is: 194,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,196 : 90,650 = 90,650 : x
  2. Step 2: Convert to fraction form
    42,196/90,650 = 90,650/x
  3. Step 3: Cross multiply
    42,196x = 90,650 × 90,650
  4. Step 4: Simplify right side
    42,196x = 8,217,422,500
  5. Step 5: Solve for x
    x = 8,217,422,500/42,196
  6. Step 6: Final answer
    x = 194,744.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.