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Finding the Third Proportional to 69,334 and 99,077

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Solution

The third proportional to 69,334 and 99,077 is: 141,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,334 : 99,077 = 99,077 : x
  2. Step 2: Convert to fraction form
    69,334/99,077 = 99,077/x
  3. Step 3: Cross multiply
    69,334x = 99,077 × 99,077
  4. Step 4: Simplify right side
    69,334x = 9,816,251,929
  5. Step 5: Solve for x
    x = 9,816,251,929/69,334
  6. Step 6: Final answer
    x = 141,579.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.