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Finding the Third Proportional to 45,952 and 94,778

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Solution

The third proportional to 45,952 and 94,778 is: 195,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,952 : 94,778 = 94,778 : x
  2. Step 2: Convert to fraction form
    45,952/94,778 = 94,778/x
  3. Step 3: Cross multiply
    45,952x = 94,778 × 94,778
  4. Step 4: Simplify right side
    45,952x = 8,982,869,284
  5. Step 5: Solve for x
    x = 8,982,869,284/45,952
  6. Step 6: Final answer
    x = 195,483.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.