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Finding the Third Proportional to 45,500 and 97,588

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Solution

The third proportional to 45,500 and 97,588 is: 209,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,500 : 97,588 = 97,588 : x
  2. Step 2: Convert to fraction form
    45,500/97,588 = 97,588/x
  3. Step 3: Cross multiply
    45,500x = 97,588 × 97,588
  4. Step 4: Simplify right side
    45,500x = 9,523,417,744
  5. Step 5: Solve for x
    x = 9,523,417,744/45,500
  6. Step 6: Final answer
    x = 209,305.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.