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Finding the Third Proportional to 112,645.69 and 175,430.81

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Solution

The third proportional to 112,645.69 and 175,430.81 is: 273,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,645.69 : 175,430.81 = 175,430.81 : x
  2. Step 2: Convert to fraction form
    112,645.69/175,430.81 = 175,430.81/x
  3. Step 3: Cross multiply
    112,645.69x = 175,430.81 × 175,430.81
  4. Step 4: Simplify right side
    112,645.69x = 30,775,969,974.41
  5. Step 5: Solve for x
    x = 30,775,969,974.41/112,645.69
  6. Step 6: Final answer
    x = 273,210.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.