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Finding the Third Proportional to 45,331 and 97,951

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Solution

The third proportional to 45,331 and 97,951 is: 211,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,331 : 97,951 = 97,951 : x
  2. Step 2: Convert to fraction form
    45,331/97,951 = 97,951/x
  3. Step 3: Cross multiply
    45,331x = 97,951 × 97,951
  4. Step 4: Simplify right side
    45,331x = 9,594,398,401
  5. Step 5: Solve for x
    x = 9,594,398,401/45,331
  6. Step 6: Final answer
    x = 211,652.04

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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.