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Finding the Third Proportional to 69,684 and 148,360

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Solution

The third proportional to 69,684 and 148,360 is: 315,864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,684 : 148,360 = 148,360 : x
  2. Step 2: Convert to fraction form
    69,684/148,360 = 148,360/x
  3. Step 3: Cross multiply
    69,684x = 148,360 × 148,360
  4. Step 4: Simplify right side
    69,684x = 22,010,689,600
  5. Step 5: Solve for x
    x = 22,010,689,600/69,684
  6. Step 6: Final answer
    x = 315,864.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.