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Finding the Third Proportional to 45,712 and 97,040

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Solution

The third proportional to 45,712 and 97,040 is: 206,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712 : 97,040 = 97,040 : x
  2. Step 2: Convert to fraction form
    45,712/97,040 = 97,040/x
  3. Step 3: Cross multiply
    45,712x = 97,040 × 97,040
  4. Step 4: Simplify right side
    45,712x = 9,416,761,600
  5. Step 5: Solve for x
    x = 9,416,761,600/45,712
  6. Step 6: Final answer
    x = 206,001.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.