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Finding the Third Proportional to 122,806.13 and 195,280.59

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Solution

The third proportional to 122,806.13 and 195,280.59 is: 310,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,806.13 : 195,280.59 = 195,280.59 : x
  2. Step 2: Convert to fraction form
    122,806.13/195,280.59 = 195,280.59/x
  3. Step 3: Cross multiply
    122,806.13x = 195,280.59 × 195,280.59
  4. Step 4: Simplify right side
    122,806.13x = 38,134,510,295.35
  5. Step 5: Solve for x
    x = 38,134,510,295.35/122,806.13
  6. Step 6: Final answer
    x = 310,526.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.