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Finding the Third Proportional to 70,977.50 and 109,883

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Solution

The third proportional to 70,977.50 and 109,883 is: 170,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,977.50 : 109,883 = 109,883 : x
  2. Step 2: Convert to fraction form
    70,977.50/109,883 = 109,883/x
  3. Step 3: Cross multiply
    70,977.50x = 109,883 × 109,883
  4. Step 4: Simplify right side
    70,977.50x = 12,074,273,689
  5. Step 5: Solve for x
    x = 12,074,273,689/70,977.50
  6. Step 6: Final answer
    x = 170,114.10

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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.