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Finding the Third Proportional to 74,439 and 160,548.75

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Solution

The third proportional to 74,439 and 160,548.75 is: 346,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,439 : 160,548.75 = 160,548.75 : x
  2. Step 2: Convert to fraction form
    74,439/160,548.75 = 160,548.75/x
  3. Step 3: Cross multiply
    74,439x = 160,548.75 × 160,548.75
  4. Step 4: Simplify right side
    74,439x = 25,775,901,126.56
  5. Step 5: Solve for x
    x = 25,775,901,126.56/74,439
  6. Step 6: Final answer
    x = 346,268.77

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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.