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Finding the Third Proportional to 76,501.13 and 164,062.13

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Solution

The third proportional to 76,501.13 and 164,062.13 is: 351,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,501.13 : 164,062.13 = 164,062.13 : x
  2. Step 2: Convert to fraction form
    76,501.13/164,062.13 = 164,062.13/x
  3. Step 3: Cross multiply
    76,501.13x = 164,062.13 × 164,062.13
  4. Step 4: Simplify right side
    76,501.13x = 26,916,380,859.52
  5. Step 5: Solve for x
    x = 26,916,380,859.52/76,501.13
  6. Step 6: Final answer
    x = 351,842.94

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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.