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Finding the Third Proportional to 91,453 and 137,423

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Solution

The third proportional to 91,453 and 137,423 is: 206,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,453 : 137,423 = 137,423 : x
  2. Step 2: Convert to fraction form
    91,453/137,423 = 137,423/x
  3. Step 3: Cross multiply
    91,453x = 137,423 × 137,423
  4. Step 4: Simplify right side
    91,453x = 18,885,080,929
  5. Step 5: Solve for x
    x = 18,885,080,929/91,453
  6. Step 6: Final answer
    x = 206,500.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.