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Finding the Third Proportional to 124,735 and 192,023

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Solution

The third proportional to 124,735 and 192,023 is: 295,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,735 : 192,023 = 192,023 : x
  2. Step 2: Convert to fraction form
    124,735/192,023 = 192,023/x
  3. Step 3: Cross multiply
    124,735x = 192,023 × 192,023
  4. Step 4: Simplify right side
    124,735x = 36,872,832,529
  5. Step 5: Solve for x
    x = 36,872,832,529/124,735
  6. Step 6: Final answer
    x = 295,609.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.