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Finding the Third Proportional to 110,026.13 and 161,910

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Solution

The third proportional to 110,026.13 and 161,910 is: 238,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,026.13 : 161,910 = 161,910 : x
  2. Step 2: Convert to fraction form
    110,026.13/161,910 = 161,910/x
  3. Step 3: Cross multiply
    110,026.13x = 161,910 × 161,910
  4. Step 4: Simplify right side
    110,026.13x = 26,214,848,100
  5. Step 5: Solve for x
    x = 26,214,848,100/110,026.13
  6. Step 6: Final answer
    x = 238,260.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.