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Finding the Third Proportional to 75,348 and 102,332

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Solution

The third proportional to 75,348 and 102,332 is: 138,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,348 : 102,332 = 102,332 : x
  2. Step 2: Convert to fraction form
    75,348/102,332 = 102,332/x
  3. Step 3: Cross multiply
    75,348x = 102,332 × 102,332
  4. Step 4: Simplify right side
    75,348x = 10,471,838,224
  5. Step 5: Solve for x
    x = 10,471,838,224/75,348
  6. Step 6: Final answer
    x = 138,979.64

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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.