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Finding the Third Proportional to 125,657 and 189,645

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Solution

The third proportional to 125,657 and 189,645 is: 286,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,657 : 189,645 = 189,645 : x
  2. Step 2: Convert to fraction form
    125,657/189,645 = 189,645/x
  3. Step 3: Cross multiply
    125,657x = 189,645 × 189,645
  4. Step 4: Simplify right side
    125,657x = 35,965,226,025
  5. Step 5: Solve for x
    x = 35,965,226,025/125,657
  6. Step 6: Final answer
    x = 286,217.45

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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.