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Finding the Third Proportional to 77,226.75 and 116,659.13

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Solution

The third proportional to 77,226.75 and 116,659.13 is: 176,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,226.75 : 116,659.13 = 116,659.13 : x
  2. Step 2: Convert to fraction form
    77,226.75/116,659.13 = 116,659.13/x
  3. Step 3: Cross multiply
    77,226.75x = 116,659.13 × 116,659.13
  4. Step 4: Simplify right side
    77,226.75x = 13,609,351,445.77
  5. Step 5: Solve for x
    x = 13,609,351,445.77/77,226.75
  6. Step 6: Final answer
    x = 176,225.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.