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Finding the Third Proportional to 67,905 and 104,959.13

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Solution

The third proportional to 67,905 and 104,959.13 is: 162,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,905 : 104,959.13 = 104,959.13 : x
  2. Step 2: Convert to fraction form
    67,905/104,959.13 = 104,959.13/x
  3. Step 3: Cross multiply
    67,905x = 104,959.13 × 104,959.13
  4. Step 4: Simplify right side
    67,905x = 11,016,417,920.77
  5. Step 5: Solve for x
    x = 11,016,417,920.77/67,905
  6. Step 6: Final answer
    x = 162,232.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.