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Finding the Third Proportional to 119,071.13 and 164,026.69

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Solution

The third proportional to 119,071.13 and 164,026.69 is: 225,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,071.13 : 164,026.69 = 164,026.69 : x
  2. Step 2: Convert to fraction form
    119,071.13/164,026.69 = 164,026.69/x
  3. Step 3: Cross multiply
    119,071.13x = 164,026.69 × 164,026.69
  4. Step 4: Simplify right side
    119,071.13x = 26,904,754,212.22
  5. Step 5: Solve for x
    x = 26,904,754,212.22/119,071.13
  6. Step 6: Final answer
    x = 225,955.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.