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Finding the Third Proportional to 76,926 and 116,415

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Solution

The third proportional to 76,926 and 116,415 is: 176,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,926 : 116,415 = 116,415 : x
  2. Step 2: Convert to fraction form
    76,926/116,415 = 116,415/x
  3. Step 3: Cross multiply
    76,926x = 116,415 × 116,415
  4. Step 4: Simplify right side
    76,926x = 13,552,452,225
  5. Step 5: Solve for x
    x = 13,552,452,225/76,926
  6. Step 6: Final answer
    x = 176,175.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.