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Finding the Third Proportional to 74,922.47 and 160,472.39

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Solution

The third proportional to 74,922.47 and 160,472.39 is: 343,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,922.47 : 160,472.39 = 160,472.39 : x
  2. Step 2: Convert to fraction form
    74,922.47/160,472.39 = 160,472.39/x
  3. Step 3: Cross multiply
    74,922.47x = 160,472.39 × 160,472.39
  4. Step 4: Simplify right side
    74,922.47x = 25,751,388,152.90
  5. Step 5: Solve for x
    x = 25,751,388,152.90/74,922.47
  6. Step 6: Final answer
    x = 343,707.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.