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Finding the Third Proportional to 74,211.19 and 175,010.63

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Solution

The third proportional to 74,211.19 and 175,010.63 is: 412,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,211.19 : 175,010.63 = 175,010.63 : x
  2. Step 2: Convert to fraction form
    74,211.19/175,010.63 = 175,010.63/x
  3. Step 3: Cross multiply
    74,211.19x = 175,010.63 × 175,010.63
  4. Step 4: Simplify right side
    74,211.19x = 30,628,718,862.89
  5. Step 5: Solve for x
    x = 30,628,718,862.89/74,211.19
  6. Step 6: Final answer
    x = 412,723.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.