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Finding the Third Proportional to 45,594 and 97,676

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Solution

The third proportional to 45,594 and 97,676 is: 209,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,594 : 97,676 = 97,676 : x
  2. Step 2: Convert to fraction form
    45,594/97,676 = 97,676/x
  3. Step 3: Cross multiply
    45,594x = 97,676 × 97,676
  4. Step 4: Simplify right side
    45,594x = 9,540,600,976
  5. Step 5: Solve for x
    x = 9,540,600,976/45,594
  6. Step 6: Final answer
    x = 209,251.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.