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Finding the Third Proportional to 76,363 and 116,165

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Solution

The third proportional to 76,363 and 116,165 is: 176,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,363 : 116,165 = 116,165 : x
  2. Step 2: Convert to fraction form
    76,363/116,165 = 116,165/x
  3. Step 3: Cross multiply
    76,363x = 116,165 × 116,165
  4. Step 4: Simplify right side
    76,363x = 13,494,307,225
  5. Step 5: Solve for x
    x = 13,494,307,225/76,363
  6. Step 6: Final answer
    x = 176,712.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.