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Finding the Third Proportional to 69,850.16 and 110,652.80

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Solution

The third proportional to 69,850.16 and 110,652.80 is: 175,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,850.16 : 110,652.80 = 110,652.80 : x
  2. Step 2: Convert to fraction form
    69,850.16/110,652.80 = 110,652.80/x
  3. Step 3: Cross multiply
    69,850.16x = 110,652.80 × 110,652.80
  4. Step 4: Simplify right side
    69,850.16x = 12,244,042,752.97
  5. Step 5: Solve for x
    x = 12,244,042,752.97/69,850.16
  6. Step 6: Final answer
    x = 175,290.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.