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Finding the Third Proportional to 124,745 and 195,463

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Solution

The third proportional to 124,745 and 195,463 is: 306,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,745 : 195,463 = 195,463 : x
  2. Step 2: Convert to fraction form
    124,745/195,463 = 195,463/x
  3. Step 3: Cross multiply
    124,745x = 195,463 × 195,463
  4. Step 4: Simplify right side
    124,745x = 38,205,784,369
  5. Step 5: Solve for x
    x = 38,205,784,369/124,745
  6. Step 6: Final answer
    x = 306,271.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.