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Finding the Third Proportional to 44,358 and 95,750

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Solution

The third proportional to 44,358 and 95,750 is: 206,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,358 : 95,750 = 95,750 : x
  2. Step 2: Convert to fraction form
    44,358/95,750 = 95,750/x
  3. Step 3: Cross multiply
    44,358x = 95,750 × 95,750
  4. Step 4: Simplify right side
    44,358x = 9,168,062,500
  5. Step 5: Solve for x
    x = 9,168,062,500/44,358
  6. Step 6: Final answer
    x = 206,683.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.