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Finding the Third Proportional to 45,042 and 97,775

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Solution

The third proportional to 45,042 and 97,775 is: 212,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042 : 97,775 = 97,775 : x
  2. Step 2: Convert to fraction form
    45,042/97,775 = 97,775/x
  3. Step 3: Cross multiply
    45,042x = 97,775 × 97,775
  4. Step 4: Simplify right side
    45,042x = 9,559,950,625
  5. Step 5: Solve for x
    x = 9,559,950,625/45,042
  6. Step 6: Final answer
    x = 212,245.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.