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Finding the Third Proportional to 88,784 and 119,619

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Solution

The third proportional to 88,784 and 119,619 is: 161,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,784 : 119,619 = 119,619 : x
  2. Step 2: Convert to fraction form
    88,784/119,619 = 119,619/x
  3. Step 3: Cross multiply
    88,784x = 119,619 × 119,619
  4. Step 4: Simplify right side
    88,784x = 14,308,705,161
  5. Step 5: Solve for x
    x = 14,308,705,161/88,784
  6. Step 6: Final answer
    x = 161,163.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.