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Finding the Third Proportional to 44,709 and 93,091

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Solution

The third proportional to 44,709 and 93,091 is: 193,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,709 : 93,091 = 93,091 : x
  2. Step 2: Convert to fraction form
    44,709/93,091 = 93,091/x
  3. Step 3: Cross multiply
    44,709x = 93,091 × 93,091
  4. Step 4: Simplify right side
    44,709x = 8,665,934,281
  5. Step 5: Solve for x
    x = 8,665,934,281/44,709
  6. Step 6: Final answer
    x = 193,829.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.