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Finding the Third Proportional to 44,779 and 94,154

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Solution

The third proportional to 44,779 and 94,154 is: 197,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,779 : 94,154 = 94,154 : x
  2. Step 2: Convert to fraction form
    44,779/94,154 = 94,154/x
  3. Step 3: Cross multiply
    44,779x = 94,154 × 94,154
  4. Step 4: Simplify right side
    44,779x = 8,864,975,716
  5. Step 5: Solve for x
    x = 8,864,975,716/44,779
  6. Step 6: Final answer
    x = 197,971.72

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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.