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Finding the Third Proportional to 70,381 and 146,587

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Solution

The third proportional to 70,381 and 146,587 is: 305,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,381 : 146,587 = 146,587 : x
  2. Step 2: Convert to fraction form
    70,381/146,587 = 146,587/x
  3. Step 3: Cross multiply
    70,381x = 146,587 × 146,587
  4. Step 4: Simplify right side
    70,381x = 21,487,748,569
  5. Step 5: Solve for x
    x = 21,487,748,569/70,381
  6. Step 6: Final answer
    x = 305,306.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.