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Finding the Third Proportional to 42,126 and 97,521

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Solution

The third proportional to 42,126 and 97,521 is: 225,759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,126 : 97,521 = 97,521 : x
  2. Step 2: Convert to fraction form
    42,126/97,521 = 97,521/x
  3. Step 3: Cross multiply
    42,126x = 97,521 × 97,521
  4. Step 4: Simplify right side
    42,126x = 9,510,345,441
  5. Step 5: Solve for x
    x = 9,510,345,441/42,126
  6. Step 6: Final answer
    x = 225,759.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.