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Finding the Third Proportional to 69,306 and 110,180

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Solution

The third proportional to 69,306 and 110,180 is: 175,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,306 : 110,180 = 110,180 : x
  2. Step 2: Convert to fraction form
    69,306/110,180 = 110,180/x
  3. Step 3: Cross multiply
    69,306x = 110,180 × 110,180
  4. Step 4: Simplify right side
    69,306x = 12,139,632,400
  5. Step 5: Solve for x
    x = 12,139,632,400/69,306
  6. Step 6: Final answer
    x = 175,159.91

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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.