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Finding the Third Proportional to 45,542 and 93,352

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Solution

The third proportional to 45,542 and 93,352 is: 191,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,542 : 93,352 = 93,352 : x
  2. Step 2: Convert to fraction form
    45,542/93,352 = 93,352/x
  3. Step 3: Cross multiply
    45,542x = 93,352 × 93,352
  4. Step 4: Simplify right side
    45,542x = 8,714,595,904
  5. Step 5: Solve for x
    x = 8,714,595,904/45,542
  6. Step 6: Final answer
    x = 191,352.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.