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Finding the Third Proportional to 92,824 and 141,412

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Solution

The third proportional to 92,824 and 141,412 is: 215,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,824 : 141,412 = 141,412 : x
  2. Step 2: Convert to fraction form
    92,824/141,412 = 141,412/x
  3. Step 3: Cross multiply
    92,824x = 141,412 × 141,412
  4. Step 4: Simplify right side
    92,824x = 19,997,353,744
  5. Step 5: Solve for x
    x = 19,997,353,744/92,824
  6. Step 6: Final answer
    x = 215,433.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.