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Finding the Third Proportional to 69,063 and 152,646

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Solution

The third proportional to 69,063 and 152,646 is: 337,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,063 : 152,646 = 152,646 : x
  2. Step 2: Convert to fraction form
    69,063/152,646 = 152,646/x
  3. Step 3: Cross multiply
    69,063x = 152,646 × 152,646
  4. Step 4: Simplify right side
    69,063x = 23,300,801,316
  5. Step 5: Solve for x
    x = 23,300,801,316/69,063
  6. Step 6: Final answer
    x = 337,384.73

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.