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Finding the Third Proportional to 69,882 and 110,709

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Solution

The third proportional to 69,882 and 110,709 is: 175,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,882 : 110,709 = 110,709 : x
  2. Step 2: Convert to fraction form
    69,882/110,709 = 110,709/x
  3. Step 3: Cross multiply
    69,882x = 110,709 × 110,709
  4. Step 4: Simplify right side
    69,882x = 12,256,482,681
  5. Step 5: Solve for x
    x = 12,256,482,681/69,882
  6. Step 6: Final answer
    x = 175,388.26

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