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Finding the Third Proportional to 92,572 and 191,708

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Solution

The third proportional to 92,572 and 191,708 is: 397,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,572 : 191,708 = 191,708 : x
  2. Step 2: Convert to fraction form
    92,572/191,708 = 191,708/x
  3. Step 3: Cross multiply
    92,572x = 191,708 × 191,708
  4. Step 4: Simplify right side
    92,572x = 36,751,957,264
  5. Step 5: Solve for x
    x = 36,751,957,264/92,572
  6. Step 6: Final answer
    x = 397,009.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.