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Finding the Third Proportional to 48,044 and 77,195

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Solution

The third proportional to 48,044 and 77,195 is: 124,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,044 : 77,195 = 77,195 : x
  2. Step 2: Convert to fraction form
    48,044/77,195 = 77,195/x
  3. Step 3: Cross multiply
    48,044x = 77,195 × 77,195
  4. Step 4: Simplify right side
    48,044x = 5,959,068,025
  5. Step 5: Solve for x
    x = 5,959,068,025/48,044
  6. Step 6: Final answer
    x = 124,033.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.