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Finding the Third Proportional to 71,006.06 and 153,083.25

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Solution

The third proportional to 71,006.06 and 153,083.25 is: 330,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,006.06 : 153,083.25 = 153,083.25 : x
  2. Step 2: Convert to fraction form
    71,006.06/153,083.25 = 153,083.25/x
  3. Step 3: Cross multiply
    71,006.06x = 153,083.25 × 153,083.25
  4. Step 4: Simplify right side
    71,006.06x = 23,434,481,430.56
  5. Step 5: Solve for x
    x = 23,434,481,430.56/71,006.06
  6. Step 6: Final answer
    x = 330,034.94

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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.