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Finding the Third Proportional to 97,252 and 124,278

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Solution

The third proportional to 97,252 and 124,278 is: 158,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,252 : 124,278 = 124,278 : x
  2. Step 2: Convert to fraction form
    97,252/124,278 = 124,278/x
  3. Step 3: Cross multiply
    97,252x = 124,278 × 124,278
  4. Step 4: Simplify right side
    97,252x = 15,445,021,284
  5. Step 5: Solve for x
    x = 15,445,021,284/97,252
  6. Step 6: Final answer
    x = 158,814.43

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.