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Finding the Third Proportional to 109,536 and 176,352

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Solution

The third proportional to 109,536 and 176,352 is: 283,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,536 : 176,352 = 176,352 : x
  2. Step 2: Convert to fraction form
    109,536/176,352 = 176,352/x
  3. Step 3: Cross multiply
    109,536x = 176,352 × 176,352
  4. Step 4: Simplify right side
    109,536x = 31,100,027,904
  5. Step 5: Solve for x
    x = 31,100,027,904/109,536
  6. Step 6: Final answer
    x = 283,925.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.