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Finding the Third Proportional to 69,481 and 110,648

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Solution

The third proportional to 69,481 and 110,648 is: 176,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,481 : 110,648 = 110,648 : x
  2. Step 2: Convert to fraction form
    69,481/110,648 = 110,648/x
  3. Step 3: Cross multiply
    69,481x = 110,648 × 110,648
  4. Step 4: Simplify right side
    69,481x = 12,242,979,904
  5. Step 5: Solve for x
    x = 12,242,979,904/69,481
  6. Step 6: Final answer
    x = 176,206.16

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