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Finding the Third Proportional to 124,778 and 193,935

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Solution

The third proportional to 124,778 and 193,935 is: 301,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,778 : 193,935 = 193,935 : x
  2. Step 2: Convert to fraction form
    124,778/193,935 = 193,935/x
  3. Step 3: Cross multiply
    124,778x = 193,935 × 193,935
  4. Step 4: Simplify right side
    124,778x = 37,610,784,225
  5. Step 5: Solve for x
    x = 37,610,784,225/124,778
  6. Step 6: Final answer
    x = 301,421.60

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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.