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Finding the Third Proportional to 67,368 and 146,532

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Solution

The third proportional to 67,368 and 146,532 is: 318,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,368 : 146,532 = 146,532 : x
  2. Step 2: Convert to fraction form
    67,368/146,532 = 146,532/x
  3. Step 3: Cross multiply
    67,368x = 146,532 × 146,532
  4. Step 4: Simplify right side
    67,368x = 21,471,627,024
  5. Step 5: Solve for x
    x = 21,471,627,024/67,368
  6. Step 6: Final answer
    x = 318,721.46

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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.