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Finding the Third Proportional to 44,272 and 96,992

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Solution

The third proportional to 44,272 and 96,992 is: 212,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,272 : 96,992 = 96,992 : x
  2. Step 2: Convert to fraction form
    44,272/96,992 = 96,992/x
  3. Step 3: Cross multiply
    44,272x = 96,992 × 96,992
  4. Step 4: Simplify right side
    44,272x = 9,407,448,064
  5. Step 5: Solve for x
    x = 9,407,448,064/44,272
  6. Step 6: Final answer
    x = 212,492.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.