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Finding the Third Proportional to 44,242 and 97,232

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Solution

The third proportional to 44,242 and 97,232 is: 213,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,242 : 97,232 = 97,232 : x
  2. Step 2: Convert to fraction form
    44,242/97,232 = 97,232/x
  3. Step 3: Cross multiply
    44,242x = 97,232 × 97,232
  4. Step 4: Simplify right side
    44,242x = 9,454,061,824
  5. Step 5: Solve for x
    x = 9,454,061,824/44,242
  6. Step 6: Final answer
    x = 213,689.75

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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.