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Finding the Third Proportional to 52,178 and 69,902

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Solution

The third proportional to 52,178 and 69,902 is: 93,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,178 : 69,902 = 69,902 : x
  2. Step 2: Convert to fraction form
    52,178/69,902 = 69,902/x
  3. Step 3: Cross multiply
    52,178x = 69,902 × 69,902
  4. Step 4: Simplify right side
    52,178x = 4,886,289,604
  5. Step 5: Solve for x
    x = 4,886,289,604/52,178
  6. Step 6: Final answer
    x = 93,646.55

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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.