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Finding the Third Proportional to 39,572 and 86,920

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Solution

The third proportional to 39,572 and 86,920 is: 190,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,572 : 86,920 = 86,920 : x
  2. Step 2: Convert to fraction form
    39,572/86,920 = 86,920/x
  3. Step 3: Cross multiply
    39,572x = 86,920 × 86,920
  4. Step 4: Simplify right side
    39,572x = 7,555,086,400
  5. Step 5: Solve for x
    x = 7,555,086,400/39,572
  6. Step 6: Final answer
    x = 190,920.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.