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Finding the Third Proportional to 75,335 and 102,314

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Solution

The third proportional to 75,335 and 102,314 is: 138,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,335 : 102,314 = 102,314 : x
  2. Step 2: Convert to fraction form
    75,335/102,314 = 102,314/x
  3. Step 3: Cross multiply
    75,335x = 102,314 × 102,314
  4. Step 4: Simplify right side
    75,335x = 10,468,154,596
  5. Step 5: Solve for x
    x = 10,468,154,596/75,335
  6. Step 6: Final answer
    x = 138,954.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.