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Finding the Third Proportional to 89,263 and 138,329.50

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Solution

The third proportional to 89,263 and 138,329.50 is: 214,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,263 : 138,329.50 = 138,329.50 : x
  2. Step 2: Convert to fraction form
    89,263/138,329.50 = 138,329.50/x
  3. Step 3: Cross multiply
    89,263x = 138,329.50 × 138,329.50
  4. Step 4: Simplify right side
    89,263x = 19,135,050,570.25
  5. Step 5: Solve for x
    x = 19,135,050,570.25/89,263
  6. Step 6: Final answer
    x = 214,367.10

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Why These Related Problems?

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