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Finding the Third Proportional to 53,511.56 and 78,715.69

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Solution

The third proportional to 53,511.56 and 78,715.69 is: 115,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,511.56 : 78,715.69 = 78,715.69 : x
  2. Step 2: Convert to fraction form
    53,511.56/78,715.69 = 78,715.69/x
  3. Step 3: Cross multiply
    53,511.56x = 78,715.69 × 78,715.69
  4. Step 4: Simplify right side
    53,511.56x = 6,196,159,458.60
  5. Step 5: Solve for x
    x = 6,196,159,458.60/53,511.56
  6. Step 6: Final answer
    x = 115,791.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.