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Finding the Third Proportional to 125,570 and 189,635

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Solution

The third proportional to 125,570 and 189,635 is: 286,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,570 : 189,635 = 189,635 : x
  2. Step 2: Convert to fraction form
    125,570/189,635 = 189,635/x
  3. Step 3: Cross multiply
    125,570x = 189,635 × 189,635
  4. Step 4: Simplify right side
    125,570x = 35,961,433,225
  5. Step 5: Solve for x
    x = 35,961,433,225/125,570
  6. Step 6: Final answer
    x = 286,385.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.