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Finding the Third Proportional to 97,370 and 124,022

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Solution

The third proportional to 97,370 and 124,022 is: 157,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,370 : 124,022 = 124,022 : x
  2. Step 2: Convert to fraction form
    97,370/124,022 = 124,022/x
  3. Step 3: Cross multiply
    97,370x = 124,022 × 124,022
  4. Step 4: Simplify right side
    97,370x = 15,381,456,484
  5. Step 5: Solve for x
    x = 15,381,456,484/97,370
  6. Step 6: Final answer
    x = 157,969.15

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.