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Finding the Third Proportional to 44,632 and 97,042

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Solution

The third proportional to 44,632 and 97,042 is: 210,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,632 : 97,042 = 97,042 : x
  2. Step 2: Convert to fraction form
    44,632/97,042 = 97,042/x
  3. Step 3: Cross multiply
    44,632x = 97,042 × 97,042
  4. Step 4: Simplify right side
    44,632x = 9,417,149,764
  5. Step 5: Solve for x
    x = 9,417,149,764/44,632
  6. Step 6: Final answer
    x = 210,995.47

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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.