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Finding the Third Proportional to 44,724 and 92,284

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Solution

The third proportional to 44,724 and 92,284 is: 190,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,724 : 92,284 = 92,284 : x
  2. Step 2: Convert to fraction form
    44,724/92,284 = 92,284/x
  3. Step 3: Cross multiply
    44,724x = 92,284 × 92,284
  4. Step 4: Simplify right side
    44,724x = 8,516,336,656
  5. Step 5: Solve for x
    x = 8,516,336,656/44,724
  6. Step 6: Final answer
    x = 190,419.83

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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.