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Finding the Third Proportional to 45,031 and 97,042

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Solution

The third proportional to 45,031 and 97,042 is: 209,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,031 : 97,042 = 97,042 : x
  2. Step 2: Convert to fraction form
    45,031/97,042 = 97,042/x
  3. Step 3: Cross multiply
    45,031x = 97,042 × 97,042
  4. Step 4: Simplify right side
    45,031x = 9,417,149,764
  5. Step 5: Solve for x
    x = 9,417,149,764/45,031
  6. Step 6: Final answer
    x = 209,125.93

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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.