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Finding the Third Proportional to 89,165 and 138,509.50

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Solution

The third proportional to 89,165 and 138,509.50 is: 215,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,165 : 138,509.50 = 138,509.50 : x
  2. Step 2: Convert to fraction form
    89,165/138,509.50 = 138,509.50/x
  3. Step 3: Cross multiply
    89,165x = 138,509.50 × 138,509.50
  4. Step 4: Simplify right side
    89,165x = 19,184,881,590.25
  5. Step 5: Solve for x
    x = 19,184,881,590.25/89,165
  6. Step 6: Final answer
    x = 215,161.57

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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.