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Finding the Third Proportional to 70,047 and 91,942.50

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Solution

The third proportional to 70,047 and 91,942.50 is: 120,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,047 : 91,942.50 = 91,942.50 : x
  2. Step 2: Convert to fraction form
    70,047/91,942.50 = 91,942.50/x
  3. Step 3: Cross multiply
    70,047x = 91,942.50 × 91,942.50
  4. Step 4: Simplify right side
    70,047x = 8,453,423,306.25
  5. Step 5: Solve for x
    x = 8,453,423,306.25/70,047
  6. Step 6: Final answer
    x = 120,682.16

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.