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Finding the Third Proportional to 97,981 and 146,590

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Solution

The third proportional to 97,981 and 146,590 is: 219,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,981 : 146,590 = 146,590 : x
  2. Step 2: Convert to fraction form
    97,981/146,590 = 146,590/x
  3. Step 3: Cross multiply
    97,981x = 146,590 × 146,590
  4. Step 4: Simplify right side
    97,981x = 21,488,628,100
  5. Step 5: Solve for x
    x = 21,488,628,100/97,981
  6. Step 6: Final answer
    x = 219,314.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.