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Finding the Third Proportional to 45,156 and 67,080.38

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Solution

The third proportional to 45,156 and 67,080.38 is: 99,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,156 : 67,080.38 = 67,080.38 : x
  2. Step 2: Convert to fraction form
    45,156/67,080.38 = 67,080.38/x
  3. Step 3: Cross multiply
    45,156x = 67,080.38 × 67,080.38
  4. Step 4: Simplify right side
    45,156x = 4,499,776,710.14
  5. Step 5: Solve for x
    x = 4,499,776,710.14/45,156
  6. Step 6: Final answer
    x = 99,649.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.