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Finding the Third Proportional to 109,543 and 176,363

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Solution

The third proportional to 109,543 and 176,363 is: 283,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,543 : 176,363 = 176,363 : x
  2. Step 2: Convert to fraction form
    109,543/176,363 = 176,363/x
  3. Step 3: Cross multiply
    109,543x = 176,363 × 176,363
  4. Step 4: Simplify right side
    109,543x = 31,103,907,769
  5. Step 5: Solve for x
    x = 31,103,907,769/109,543
  6. Step 6: Final answer
    x = 283,942.45

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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.