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Finding the Third Proportional to 71,044.25 and 153,913

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Solution

The third proportional to 71,044.25 and 153,913 is: 333,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,044.25 : 153,913 = 153,913 : x
  2. Step 2: Convert to fraction form
    71,044.25/153,913 = 153,913/x
  3. Step 3: Cross multiply
    71,044.25x = 153,913 × 153,913
  4. Step 4: Simplify right side
    71,044.25x = 23,689,211,569
  5. Step 5: Solve for x
    x = 23,689,211,569/71,044.25
  6. Step 6: Final answer
    x = 333,443.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.