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Finding the Third Proportional to 91,572 and 192,984

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Solution

The third proportional to 91,572 and 192,984 is: 406,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,572 : 192,984 = 192,984 : x
  2. Step 2: Convert to fraction form
    91,572/192,984 = 192,984/x
  3. Step 3: Cross multiply
    91,572x = 192,984 × 192,984
  4. Step 4: Simplify right side
    91,572x = 37,242,824,256
  5. Step 5: Solve for x
    x = 37,242,824,256/91,572
  6. Step 6: Final answer
    x = 406,705.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.