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Finding the Third Proportional to 44,246 and 93,674

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Solution

The third proportional to 44,246 and 93,674 is: 198,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,246 : 93,674 = 93,674 : x
  2. Step 2: Convert to fraction form
    44,246/93,674 = 93,674/x
  3. Step 3: Cross multiply
    44,246x = 93,674 × 93,674
  4. Step 4: Simplify right side
    44,246x = 8,774,818,276
  5. Step 5: Solve for x
    x = 8,774,818,276/44,246
  6. Step 6: Final answer
    x = 198,318.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.