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Finding the Third Proportional to 124,843.50 and 195,632.50

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Solution

The third proportional to 124,843.50 and 195,632.50 is: 306,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,843.50 : 195,632.50 = 195,632.50 : x
  2. Step 2: Convert to fraction form
    124,843.50/195,632.50 = 195,632.50/x
  3. Step 3: Cross multiply
    124,843.50x = 195,632.50 × 195,632.50
  4. Step 4: Simplify right side
    124,843.50x = 38,272,075,056.25
  5. Step 5: Solve for x
    x = 38,272,075,056.25/124,843.50
  6. Step 6: Final answer
    x = 306,560.41

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