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Finding the Third Proportional to 60,334 and 99,978

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Solution

The third proportional to 60,334 and 99,978 is: 165,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,334 : 99,978 = 99,978 : x
  2. Step 2: Convert to fraction form
    60,334/99,978 = 99,978/x
  3. Step 3: Cross multiply
    60,334x = 99,978 × 99,978
  4. Step 4: Simplify right side
    60,334x = 9,995,600,484
  5. Step 5: Solve for x
    x = 9,995,600,484/60,334
  6. Step 6: Final answer
    x = 165,671.11

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.