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Finding the Third Proportional to 69,614 and 112,089

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Solution

The third proportional to 69,614 and 112,089 is: 180,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,614 : 112,089 = 112,089 : x
  2. Step 2: Convert to fraction form
    69,614/112,089 = 112,089/x
  3. Step 3: Cross multiply
    69,614x = 112,089 × 112,089
  4. Step 4: Simplify right side
    69,614x = 12,563,943,921
  5. Step 5: Solve for x
    x = 12,563,943,921/69,614
  6. Step 6: Final answer
    x = 180,480.13

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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.