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Finding the Third Proportional to 124,956 and 193,540.50

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Solution

The third proportional to 124,956 and 193,540.50 is: 299,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,956 : 193,540.50 = 193,540.50 : x
  2. Step 2: Convert to fraction form
    124,956/193,540.50 = 193,540.50/x
  3. Step 3: Cross multiply
    124,956x = 193,540.50 × 193,540.50
  4. Step 4: Simplify right side
    124,956x = 37,457,925,140.25
  5. Step 5: Solve for x
    x = 37,457,925,140.25/124,956
  6. Step 6: Final answer
    x = 299,768.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.