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Finding the Third Proportional to 43,319 and 94,910

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Solution

The third proportional to 43,319 and 94,910 is: 207,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,319 : 94,910 = 94,910 : x
  2. Step 2: Convert to fraction form
    43,319/94,910 = 94,910/x
  3. Step 3: Cross multiply
    43,319x = 94,910 × 94,910
  4. Step 4: Simplify right side
    43,319x = 9,007,908,100
  5. Step 5: Solve for x
    x = 9,007,908,100/43,319
  6. Step 6: Final answer
    x = 207,943.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.