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Finding the Third Proportional to 114,616.13 and 177,117.75

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Solution

The third proportional to 114,616.13 and 177,117.75 is: 273,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,616.13 : 177,117.75 = 177,117.75 : x
  2. Step 2: Convert to fraction form
    114,616.13/177,117.75 = 177,117.75/x
  3. Step 3: Cross multiply
    114,616.13x = 177,117.75 × 177,117.75
  4. Step 4: Simplify right side
    114,616.13x = 31,370,697,365.06
  5. Step 5: Solve for x
    x = 31,370,697,365.06/114,616.13
  6. Step 6: Final answer
    x = 273,702.30

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