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Finding the Third Proportional to 52,196 and 69,918

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Solution

The third proportional to 52,196 and 69,918 is: 93,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,196 : 69,918 = 69,918 : x
  2. Step 2: Convert to fraction form
    52,196/69,918 = 69,918/x
  3. Step 3: Cross multiply
    52,196x = 69,918 × 69,918
  4. Step 4: Simplify right side
    52,196x = 4,888,526,724
  5. Step 5: Solve for x
    x = 4,888,526,724/52,196
  6. Step 6: Final answer
    x = 93,657.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.