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Finding the Third Proportional to 76,431 and 101,935.50

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Solution

The third proportional to 76,431 and 101,935.50 is: 135,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,431 : 101,935.50 = 101,935.50 : x
  2. Step 2: Convert to fraction form
    76,431/101,935.50 = 101,935.50/x
  3. Step 3: Cross multiply
    76,431x = 101,935.50 × 101,935.50
  4. Step 4: Simplify right side
    76,431x = 10,390,846,160.25
  5. Step 5: Solve for x
    x = 10,390,846,160.25/76,431
  6. Step 6: Final answer
    x = 135,950.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.