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Finding the Third Proportional to 87,294 and 130,944

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Solution

The third proportional to 87,294 and 130,944 is: 196,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,294 : 130,944 = 130,944 : x
  2. Step 2: Convert to fraction form
    87,294/130,944 = 130,944/x
  3. Step 3: Cross multiply
    87,294x = 130,944 × 130,944
  4. Step 4: Simplify right side
    87,294x = 17,146,331,136
  5. Step 5: Solve for x
    x = 17,146,331,136/87,294
  6. Step 6: Final answer
    x = 196,420.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.