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Finding the Third Proportional to 86,724 and 126,792

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Solution

The third proportional to 86,724 and 126,792 is: 185,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,724 : 126,792 = 126,792 : x
  2. Step 2: Convert to fraction form
    86,724/126,792 = 126,792/x
  3. Step 3: Cross multiply
    86,724x = 126,792 × 126,792
  4. Step 4: Simplify right side
    86,724x = 16,076,211,264
  5. Step 5: Solve for x
    x = 16,076,211,264/86,724
  6. Step 6: Final answer
    x = 185,372.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.