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Finding the Third Proportional to 61,358 and 96,981

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Solution

The third proportional to 61,358 and 96,981 is: 153,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,358 : 96,981 = 96,981 : x
  2. Step 2: Convert to fraction form
    61,358/96,981 = 96,981/x
  3. Step 3: Cross multiply
    61,358x = 96,981 × 96,981
  4. Step 4: Simplify right side
    61,358x = 9,405,314,361
  5. Step 5: Solve for x
    x = 9,405,314,361/61,358
  6. Step 6: Final answer
    x = 153,285.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.