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Finding the Third Proportional to 71,072.25 and 153,215.63

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Solution

The third proportional to 71,072.25 and 153,215.63 is: 330,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,072.25 : 153,215.63 = 153,215.63 : x
  2. Step 2: Convert to fraction form
    71,072.25/153,215.63 = 153,215.63/x
  3. Step 3: Cross multiply
    71,072.25x = 153,215.63 × 153,215.63
  4. Step 4: Simplify right side
    71,072.25x = 23,475,027,744.14
  5. Step 5: Solve for x
    x = 23,475,027,744.14/71,072.25
  6. Step 6: Final answer
    x = 330,298.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.