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Finding the Third Proportional to 115,111.13 and 177,587.44

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Solution

The third proportional to 115,111.13 and 177,587.44 is: 273,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,111.13 : 177,587.44 = 177,587.44 : x
  2. Step 2: Convert to fraction form
    115,111.13/177,587.44 = 177,587.44/x
  3. Step 3: Cross multiply
    115,111.13x = 177,587.44 × 177,587.44
  4. Step 4: Simplify right side
    115,111.13x = 31,537,297,957.82
  5. Step 5: Solve for x
    x = 31,537,297,957.82/115,111.13
  6. Step 6: Final answer
    x = 273,972.63

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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.