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Finding the Third Proportional to 77,715.50 and 116,860.50

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Solution

The third proportional to 77,715.50 and 116,860.50 is: 175,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,715.50 : 116,860.50 = 116,860.50 : x
  2. Step 2: Convert to fraction form
    77,715.50/116,860.50 = 116,860.50/x
  3. Step 3: Cross multiply
    77,715.50x = 116,860.50 × 116,860.50
  4. Step 4: Simplify right side
    77,715.50x = 13,656,376,460.25
  5. Step 5: Solve for x
    x = 13,656,376,460.25/77,715.50
  6. Step 6: Final answer
    x = 175,722.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.