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Finding the Third Proportional to 59,119 and 126,985

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Solution

The third proportional to 59,119 and 126,985 is: 272,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,119 : 126,985 = 126,985 : x
  2. Step 2: Convert to fraction form
    59,119/126,985 = 126,985/x
  3. Step 3: Cross multiply
    59,119x = 126,985 × 126,985
  4. Step 4: Simplify right side
    59,119x = 16,125,190,225
  5. Step 5: Solve for x
    x = 16,125,190,225/59,119
  6. Step 6: Final answer
    x = 272,758.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.