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Finding the Third Proportional to 115,973.93 and 179,572.71

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Solution

The third proportional to 115,973.93 and 179,572.71 is: 278,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,973.93 : 179,572.71 = 179,572.71 : x
  2. Step 2: Convert to fraction form
    115,973.93/179,572.71 = 179,572.71/x
  3. Step 3: Cross multiply
    115,973.93x = 179,572.71 × 179,572.71
  4. Step 4: Simplify right side
    115,973.93x = 32,246,358,513.44
  5. Step 5: Solve for x
    x = 32,246,358,513.44/115,973.93
  6. Step 6: Final answer
    x = 278,048.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.