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Finding the Third Proportional to 42,330 and 91,341

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Solution

The third proportional to 42,330 and 91,341 is: 197,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,330 : 91,341 = 91,341 : x
  2. Step 2: Convert to fraction form
    42,330/91,341 = 91,341/x
  3. Step 3: Cross multiply
    42,330x = 91,341 × 91,341
  4. Step 4: Simplify right side
    42,330x = 8,343,178,281
  5. Step 5: Solve for x
    x = 8,343,178,281/42,330
  6. Step 6: Final answer
    x = 197,098.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.