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Finding the Third Proportional to 124,726.50 and 195,801.75

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Solution

The third proportional to 124,726.50 and 195,801.75 is: 307,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,726.50 : 195,801.75 = 195,801.75 : x
  2. Step 2: Convert to fraction form
    124,726.50/195,801.75 = 195,801.75/x
  3. Step 3: Cross multiply
    124,726.50x = 195,801.75 × 195,801.75
  4. Step 4: Simplify right side
    124,726.50x = 38,338,325,303.06
  5. Step 5: Solve for x
    x = 38,338,325,303.06/124,726.50
  6. Step 6: Final answer
    x = 307,379.15

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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.