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Finding the Third Proportional to 40,234 and 59,119

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Solution

The third proportional to 40,234 and 59,119 is: 86,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,234 : 59,119 = 59,119 : x
  2. Step 2: Convert to fraction form
    40,234/59,119 = 59,119/x
  3. Step 3: Cross multiply
    40,234x = 59,119 × 59,119
  4. Step 4: Simplify right side
    40,234x = 3,495,056,161
  5. Step 5: Solve for x
    x = 3,495,056,161/40,234
  6. Step 6: Final answer
    x = 86,868.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.