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Finding the Third Proportional to 86,460 and 126,573

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Solution

The third proportional to 86,460 and 126,573 is: 185,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,460 : 126,573 = 126,573 : x
  2. Step 2: Convert to fraction form
    86,460/126,573 = 126,573/x
  3. Step 3: Cross multiply
    86,460x = 126,573 × 126,573
  4. Step 4: Simplify right side
    86,460x = 16,020,724,329
  5. Step 5: Solve for x
    x = 16,020,724,329/86,460
  6. Step 6: Final answer
    x = 185,296.37

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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.