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Finding the Third Proportional to 74,935.13 and 156,795.75

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Solution

The third proportional to 74,935.13 and 156,795.75 is: 328,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,935.13 : 156,795.75 = 156,795.75 : x
  2. Step 2: Convert to fraction form
    74,935.13/156,795.75 = 156,795.75/x
  3. Step 3: Cross multiply
    74,935.13x = 156,795.75 × 156,795.75
  4. Step 4: Simplify right side
    74,935.13x = 24,584,907,218.06
  5. Step 5: Solve for x
    x = 24,584,907,218.06/74,935.13
  6. Step 6: Final answer
    x = 328,082.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.