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Finding the Third Proportional to 115,676.07 and 157,079.57

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Solution

The third proportional to 115,676.07 and 157,079.57 is: 213,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,676.07 : 157,079.57 = 157,079.57 : x
  2. Step 2: Convert to fraction form
    115,676.07/157,079.57 = 157,079.57/x
  3. Step 3: Cross multiply
    115,676.07x = 157,079.57 × 157,079.57
  4. Step 4: Simplify right side
    115,676.07x = 24,673,990,182.38
  5. Step 5: Solve for x
    x = 24,673,990,182.38/115,676.07
  6. Step 6: Final answer
    x = 213,302.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.