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Finding the Third Proportional to 76,692 and 117,715.13

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Solution

The third proportional to 76,692 and 117,715.13 is: 180,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,692 : 117,715.13 = 117,715.13 : x
  2. Step 2: Convert to fraction form
    76,692/117,715.13 = 117,715.13/x
  3. Step 3: Cross multiply
    76,692x = 117,715.13 × 117,715.13
  4. Step 4: Simplify right side
    76,692x = 13,856,850,653.77
  5. Step 5: Solve for x
    x = 13,856,850,653.77/76,692
  6. Step 6: Final answer
    x = 180,681.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.