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Finding the Third Proportional to 67,232 and 146,560

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Solution

The third proportional to 67,232 and 146,560 is: 319,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,232 : 146,560 = 146,560 : x
  2. Step 2: Convert to fraction form
    67,232/146,560 = 146,560/x
  3. Step 3: Cross multiply
    67,232x = 146,560 × 146,560
  4. Step 4: Simplify right side
    67,232x = 21,479,833,600
  5. Step 5: Solve for x
    x = 21,479,833,600/67,232
  6. Step 6: Final answer
    x = 319,488.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.