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Finding the Third Proportional to 52,861.50 and 77,307.75

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Solution

The third proportional to 52,861.50 and 77,307.75 is: 113,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,861.50 : 77,307.75 = 77,307.75 : x
  2. Step 2: Convert to fraction form
    52,861.50/77,307.75 = 77,307.75/x
  3. Step 3: Cross multiply
    52,861.50x = 77,307.75 × 77,307.75
  4. Step 4: Simplify right side
    52,861.50x = 5,976,488,210.06
  5. Step 5: Solve for x
    x = 5,976,488,210.06/52,861.50
  6. Step 6: Final answer
    x = 113,059.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.