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Finding the Third Proportional to 122,807.07 and 195,282.46

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Solution

The third proportional to 122,807.07 and 195,282.46 is: 310,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,807.07 : 195,282.46 = 195,282.46 : x
  2. Step 2: Convert to fraction form
    122,807.07/195,282.46 = 195,282.46/x
  3. Step 3: Cross multiply
    122,807.07x = 195,282.46 × 195,282.46
  4. Step 4: Simplify right side
    122,807.07x = 38,135,238,024.16
  5. Step 5: Solve for x
    x = 38,135,238,024.16/122,807.07
  6. Step 6: Final answer
    x = 310,529.65

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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.