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Finding the Third Proportional to 122,132.50 and 265,153.75

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Solution

The third proportional to 122,132.50 and 265,153.75 is: 575,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,132.50 : 265,153.75 = 265,153.75 : x
  2. Step 2: Convert to fraction form
    122,132.50/265,153.75 = 265,153.75/x
  3. Step 3: Cross multiply
    122,132.50x = 265,153.75 × 265,153.75
  4. Step 4: Simplify right side
    122,132.50x = 70,306,511,139.06
  5. Step 5: Solve for x
    x = 70,306,511,139.06/122,132.50
  6. Step 6: Final answer
    x = 575,657.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.