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Finding the Third Proportional to 44,748 and 94,100

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Solution

The third proportional to 44,748 and 94,100 is: 197,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,748 : 94,100 = 94,100 : x
  2. Step 2: Convert to fraction form
    44,748/94,100 = 94,100/x
  3. Step 3: Cross multiply
    44,748x = 94,100 × 94,100
  4. Step 4: Simplify right side
    44,748x = 8,854,810,000
  5. Step 5: Solve for x
    x = 8,854,810,000/44,748
  6. Step 6: Final answer
    x = 197,881.69

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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.