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Finding the Third Proportional to 77,967 and 169,045.88

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Solution

The third proportional to 77,967 and 169,045.88 is: 366,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967 : 169,045.88 = 169,045.88 : x
  2. Step 2: Convert to fraction form
    77,967/169,045.88 = 169,045.88/x
  3. Step 3: Cross multiply
    77,967x = 169,045.88 × 169,045.88
  4. Step 4: Simplify right side
    77,967x = 28,576,507,854.52
  5. Step 5: Solve for x
    x = 28,576,507,854.52/77,967
  6. Step 6: Final answer
    x = 366,520.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.