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Finding the Third Proportional to 69,959.75 and 110,957

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Solution

The third proportional to 69,959.75 and 110,957 is: 175,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,959.75 : 110,957 = 110,957 : x
  2. Step 2: Convert to fraction form
    69,959.75/110,957 = 110,957/x
  3. Step 3: Cross multiply
    69,959.75x = 110,957 × 110,957
  4. Step 4: Simplify right side
    69,959.75x = 12,311,455,849
  5. Step 5: Solve for x
    x = 12,311,455,849/69,959.75
  6. Step 6: Final answer
    x = 175,979.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.