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Finding the Third Proportional to 115,134.75 and 177,616.13

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Solution

The third proportional to 115,134.75 and 177,616.13 is: 274,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,134.75 : 177,616.13 = 177,616.13 : x
  2. Step 2: Convert to fraction form
    115,134.75/177,616.13 = 177,616.13/x
  3. Step 3: Cross multiply
    115,134.75x = 177,616.13 × 177,616.13
  4. Step 4: Simplify right side
    115,134.75x = 31,547,487,860.02
  5. Step 5: Solve for x
    x = 31,547,487,860.02/115,134.75
  6. Step 6: Final answer
    x = 274,004.92

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