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Finding the Third Proportional to 69,023 and 147,883

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Solution

The third proportional to 69,023 and 147,883 is: 316,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,023 : 147,883 = 147,883 : x
  2. Step 2: Convert to fraction form
    69,023/147,883 = 147,883/x
  3. Step 3: Cross multiply
    69,023x = 147,883 × 147,883
  4. Step 4: Simplify right side
    69,023x = 21,869,381,689
  5. Step 5: Solve for x
    x = 21,869,381,689/69,023
  6. Step 6: Final answer
    x = 316,841.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.