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Finding the Third Proportional to 69,065 and 152,650

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Solution

The third proportional to 69,065 and 152,650 is: 337,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,065 : 152,650 = 152,650 : x
  2. Step 2: Convert to fraction form
    69,065/152,650 = 152,650/x
  3. Step 3: Cross multiply
    69,065x = 152,650 × 152,650
  4. Step 4: Simplify right side
    69,065x = 23,302,022,500
  5. Step 5: Solve for x
    x = 23,302,022,500/69,065
  6. Step 6: Final answer
    x = 337,392.64

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Why These Related Problems?

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