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Finding the Third Proportional to 88,026 and 119,599.50

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Solution

The third proportional to 88,026 and 119,599.50 is: 162,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,026 : 119,599.50 = 119,599.50 : x
  2. Step 2: Convert to fraction form
    88,026/119,599.50 = 119,599.50/x
  3. Step 3: Cross multiply
    88,026x = 119,599.50 × 119,599.50
  4. Step 4: Simplify right side
    88,026x = 14,304,040,400.25
  5. Step 5: Solve for x
    x = 14,304,040,400.25/88,026
  6. Step 6: Final answer
    x = 162,497.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.