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Finding the Third Proportional to 45,000 and 97,398

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Solution

The third proportional to 45,000 and 97,398 is: 210,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,000 : 97,398 = 97,398 : x
  2. Step 2: Convert to fraction form
    45,000/97,398 = 97,398/x
  3. Step 3: Cross multiply
    45,000x = 97,398 × 97,398
  4. Step 4: Simplify right side
    45,000x = 9,486,370,404
  5. Step 5: Solve for x
    x = 9,486,370,404/45,000
  6. Step 6: Final answer
    x = 210,808.23

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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.