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Finding the Third Proportional to 88,130 and 126,299

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Solution

The third proportional to 88,130 and 126,299 is: 180,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,130 : 126,299 = 126,299 : x
  2. Step 2: Convert to fraction form
    88,130/126,299 = 126,299/x
  3. Step 3: Cross multiply
    88,130x = 126,299 × 126,299
  4. Step 4: Simplify right side
    88,130x = 15,951,437,401
  5. Step 5: Solve for x
    x = 15,951,437,401/88,130
  6. Step 6: Final answer
    x = 180,998.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.