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Finding the Third Proportional to 44,369 and 97,243

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Solution

The third proportional to 44,369 and 97,243 is: 213,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,369 : 97,243 = 97,243 : x
  2. Step 2: Convert to fraction form
    44,369/97,243 = 97,243/x
  3. Step 3: Cross multiply
    44,369x = 97,243 × 97,243
  4. Step 4: Simplify right side
    44,369x = 9,456,201,049
  5. Step 5: Solve for x
    x = 9,456,201,049/44,369
  6. Step 6: Final answer
    x = 213,126.31

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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.