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Finding the Third Proportional to 88,182 and 135,121.50

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Solution

The third proportional to 88,182 and 135,121.50 is: 207,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,182 : 135,121.50 = 135,121.50 : x
  2. Step 2: Convert to fraction form
    88,182/135,121.50 = 135,121.50/x
  3. Step 3: Cross multiply
    88,182x = 135,121.50 × 135,121.50
  4. Step 4: Simplify right side
    88,182x = 18,257,819,762.25
  5. Step 5: Solve for x
    x = 18,257,819,762.25/88,182
  6. Step 6: Final answer
    x = 207,047.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.