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Finding the Third Proportional to 88,003 and 136,333.50

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Solution

The third proportional to 88,003 and 136,333.50 is: 211,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,003 : 136,333.50 = 136,333.50 : x
  2. Step 2: Convert to fraction form
    88,003/136,333.50 = 136,333.50/x
  3. Step 3: Cross multiply
    88,003x = 136,333.50 × 136,333.50
  4. Step 4: Simplify right side
    88,003x = 18,586,823,222.25
  5. Step 5: Solve for x
    x = 18,586,823,222.25/88,003
  6. Step 6: Final answer
    x = 211,206.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.