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Finding the Third Proportional to 124,738.10 and 195,452.16

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Solution

The third proportional to 124,738.10 and 195,452.16 is: 306,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,738.10 : 195,452.16 = 195,452.16 : x
  2. Step 2: Convert to fraction form
    124,738.10/195,452.16 = 195,452.16/x
  3. Step 3: Cross multiply
    124,738.10x = 195,452.16 × 195,452.16
  4. Step 4: Simplify right side
    124,738.10x = 38,201,545,382.77
  5. Step 5: Solve for x
    x = 38,201,545,382.77/124,738.10
  6. Step 6: Final answer
    x = 306,254.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.