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Finding the Third Proportional to 45,023 and 96,718

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Solution

The third proportional to 45,023 and 96,718 is: 207,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,023 : 96,718 = 96,718 : x
  2. Step 2: Convert to fraction form
    45,023/96,718 = 96,718/x
  3. Step 3: Cross multiply
    45,023x = 96,718 × 96,718
  4. Step 4: Simplify right side
    45,023x = 9,354,371,524
  5. Step 5: Solve for x
    x = 9,354,371,524/45,023
  6. Step 6: Final answer
    x = 207,768.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.