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Finding the Third Proportional to 42,306 and 90,446

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Solution

The third proportional to 42,306 and 90,446 is: 193,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,306 : 90,446 = 90,446 : x
  2. Step 2: Convert to fraction form
    42,306/90,446 = 90,446/x
  3. Step 3: Cross multiply
    42,306x = 90,446 × 90,446
  4. Step 4: Simplify right side
    42,306x = 8,180,478,916
  5. Step 5: Solve for x
    x = 8,180,478,916/42,306
  6. Step 6: Final answer
    x = 193,364.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.