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Finding the Third Proportional to 47,712 and 99,346

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Solution

The third proportional to 47,712 and 99,346 is: 206,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 99,346 = 99,346 : x
  2. Step 2: Convert to fraction form
    47,712/99,346 = 99,346/x
  3. Step 3: Cross multiply
    47,712x = 99,346 × 99,346
  4. Step 4: Simplify right side
    47,712x = 9,869,627,716
  5. Step 5: Solve for x
    x = 9,869,627,716/47,712
  6. Step 6: Final answer
    x = 206,858.39

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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.