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Finding the Third Proportional to 125,391 and 192,022.50

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Solution

The third proportional to 125,391 and 192,022.50 is: 294,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,391 : 192,022.50 = 192,022.50 : x
  2. Step 2: Convert to fraction form
    125,391/192,022.50 = 192,022.50/x
  3. Step 3: Cross multiply
    125,391x = 192,022.50 × 192,022.50
  4. Step 4: Simplify right side
    125,391x = 36,872,640,506.25
  5. Step 5: Solve for x
    x = 36,872,640,506.25/125,391
  6. Step 6: Final answer
    x = 294,061.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.