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Finding the Third Proportional to 45,294 and 96,069

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Solution

The third proportional to 45,294 and 96,069 is: 203,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,294 : 96,069 = 96,069 : x
  2. Step 2: Convert to fraction form
    45,294/96,069 = 96,069/x
  3. Step 3: Cross multiply
    45,294x = 96,069 × 96,069
  4. Step 4: Simplify right side
    45,294x = 9,229,252,761
  5. Step 5: Solve for x
    x = 9,229,252,761/45,294
  6. Step 6: Final answer
    x = 203,763.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.