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Finding the Third Proportional to 45,298 and 97,532

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Solution

The third proportional to 45,298 and 97,532 is: 209,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,298 : 97,532 = 97,532 : x
  2. Step 2: Convert to fraction form
    45,298/97,532 = 97,532/x
  3. Step 3: Cross multiply
    45,298x = 97,532 × 97,532
  4. Step 4: Simplify right side
    45,298x = 9,512,491,024
  5. Step 5: Solve for x
    x = 9,512,491,024/45,298
  6. Step 6: Final answer
    x = 209,998.04

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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.