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Finding the Third Proportional to 122,798.25 and 195,269.06

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Solution

The third proportional to 122,798.25 and 195,269.06 is: 310,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,798.25 : 195,269.06 = 195,269.06 : x
  2. Step 2: Convert to fraction form
    122,798.25/195,269.06 = 195,269.06/x
  3. Step 3: Cross multiply
    122,798.25x = 195,269.06 × 195,269.06
  4. Step 4: Simplify right side
    122,798.25x = 38,130,006,769.63
  5. Step 5: Solve for x
    x = 38,130,006,769.63/122,798.25
  6. Step 6: Final answer
    x = 310,509.37

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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.