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Finding the Third Proportional to 92,266.88 and 138,399.94

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Solution

The third proportional to 92,266.88 and 138,399.94 is: 207,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,266.88 : 138,399.94 = 138,399.94 : x
  2. Step 2: Convert to fraction form
    92,266.88/138,399.94 = 138,399.94/x
  3. Step 3: Cross multiply
    92,266.88x = 138,399.94 × 138,399.94
  4. Step 4: Simplify right side
    92,266.88x = 19,154,542,700.00
  5. Step 5: Solve for x
    x = 19,154,542,700.00/92,266.88
  6. Step 6: Final answer
    x = 207,599.34

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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.