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Finding the Third Proportional to 76,707.75 and 164,077.13

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Solution

The third proportional to 76,707.75 and 164,077.13 is: 350,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,707.75 : 164,077.13 = 164,077.13 : x
  2. Step 2: Convert to fraction form
    76,707.75/164,077.13 = 164,077.13/x
  3. Step 3: Cross multiply
    76,707.75x = 164,077.13 × 164,077.13
  4. Step 4: Simplify right side
    76,707.75x = 26,921,302,948.27
  5. Step 5: Solve for x
    x = 26,921,302,948.27/76,707.75
  6. Step 6: Final answer
    x = 350,959.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.