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Finding the Third Proportional to 73,707.75 and 113,302.13

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Solution

The third proportional to 73,707.75 and 113,302.13 is: 174,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,707.75 : 113,302.13 = 113,302.13 : x
  2. Step 2: Convert to fraction form
    73,707.75/113,302.13 = 113,302.13/x
  3. Step 3: Cross multiply
    73,707.75x = 113,302.13 × 113,302.13
  4. Step 4: Simplify right side
    73,707.75x = 12,837,371,529.52
  5. Step 5: Solve for x
    x = 12,837,371,529.52/73,707.75
  6. Step 6: Final answer
    x = 174,165.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.