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Finding the Third Proportional to 47,459 and 97,287

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Solution

The third proportional to 47,459 and 97,287 is: 199,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,459 : 97,287 = 97,287 : x
  2. Step 2: Convert to fraction form
    47,459/97,287 = 97,287/x
  3. Step 3: Cross multiply
    47,459x = 97,287 × 97,287
  4. Step 4: Simplify right side
    47,459x = 9,464,760,369
  5. Step 5: Solve for x
    x = 9,464,760,369/47,459
  6. Step 6: Final answer
    x = 199,430.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.