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Finding the Third Proportional to 69,711 and 152,763

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Solution

The third proportional to 69,711 and 152,763 is: 334,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,711 : 152,763 = 152,763 : x
  2. Step 2: Convert to fraction form
    69,711/152,763 = 152,763/x
  3. Step 3: Cross multiply
    69,711x = 152,763 × 152,763
  4. Step 4: Simplify right side
    69,711x = 23,336,534,169
  5. Step 5: Solve for x
    x = 23,336,534,169/69,711
  6. Step 6: Final answer
    x = 334,761.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.