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Finding the Third Proportional to 77,141.50 and 116,679.75

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Solution

The third proportional to 77,141.50 and 116,679.75 is: 176,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,141.50 : 116,679.75 = 116,679.75 : x
  2. Step 2: Convert to fraction form
    77,141.50/116,679.75 = 116,679.75/x
  3. Step 3: Cross multiply
    77,141.50x = 116,679.75 × 116,679.75
  4. Step 4: Simplify right side
    77,141.50x = 13,614,164,060.06
  5. Step 5: Solve for x
    x = 13,614,164,060.06/77,141.50
  6. Step 6: Final answer
    x = 176,483.01

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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.