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Finding the Third Proportional to 124,260.75 and 193,765.50

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Solution

The third proportional to 124,260.75 and 193,765.50 is: 302,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,260.75 : 193,765.50 = 193,765.50 : x
  2. Step 2: Convert to fraction form
    124,260.75/193,765.50 = 193,765.50/x
  3. Step 3: Cross multiply
    124,260.75x = 193,765.50 × 193,765.50
  4. Step 4: Simplify right side
    124,260.75x = 37,545,068,990.25
  5. Step 5: Solve for x
    x = 37,545,068,990.25/124,260.75
  6. Step 6: Final answer
    x = 302,147.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.