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Finding the Third Proportional to 67,610 and 146,164

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Solution

The third proportional to 67,610 and 146,164 is: 315,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,610 : 146,164 = 146,164 : x
  2. Step 2: Convert to fraction form
    67,610/146,164 = 146,164/x
  3. Step 3: Cross multiply
    67,610x = 146,164 × 146,164
  4. Step 4: Simplify right side
    67,610x = 21,363,914,896
  5. Step 5: Solve for x
    x = 21,363,914,896/67,610
  6. Step 6: Final answer
    x = 315,987.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.