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Finding the Third Proportional to 47,748 and 99,417

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Solution

The third proportional to 47,748 and 99,417 is: 206,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,748 : 99,417 = 99,417 : x
  2. Step 2: Convert to fraction form
    47,748/99,417 = 99,417/x
  3. Step 3: Cross multiply
    47,748x = 99,417 × 99,417
  4. Step 4: Simplify right side
    47,748x = 9,883,739,889
  5. Step 5: Solve for x
    x = 9,883,739,889/47,748
  6. Step 6: Final answer
    x = 206,997.99

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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.