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Finding the Third Proportional to 44,032 and 92,416

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Solution

The third proportional to 44,032 and 92,416 is: 193,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,032 : 92,416 = 92,416 : x
  2. Step 2: Convert to fraction form
    44,032/92,416 = 92,416/x
  3. Step 3: Cross multiply
    44,032x = 92,416 × 92,416
  4. Step 4: Simplify right side
    44,032x = 8,540,717,056
  5. Step 5: Solve for x
    x = 8,540,717,056/44,032
  6. Step 6: Final answer
    x = 193,966.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.