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Finding the Third Proportional to 47,365.50 and 101,748

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Solution

The third proportional to 47,365.50 and 101,748 is: 218,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,365.50 : 101,748 = 101,748 : x
  2. Step 2: Convert to fraction form
    47,365.50/101,748 = 101,748/x
  3. Step 3: Cross multiply
    47,365.50x = 101,748 × 101,748
  4. Step 4: Simplify right side
    47,365.50x = 10,352,655,504
  5. Step 5: Solve for x
    x = 10,352,655,504/47,365.50
  6. Step 6: Final answer
    x = 218,569.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.