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Finding the Third Proportional to 89,202 and 122,320.50

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Solution

The third proportional to 89,202 and 122,320.50 is: 167,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,202 : 122,320.50 = 122,320.50 : x
  2. Step 2: Convert to fraction form
    89,202/122,320.50 = 122,320.50/x
  3. Step 3: Cross multiply
    89,202x = 122,320.50 × 122,320.50
  4. Step 4: Simplify right side
    89,202x = 14,962,304,720.25
  5. Step 5: Solve for x
    x = 14,962,304,720.25/89,202
  6. Step 6: Final answer
    x = 167,735.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.