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Finding the Third Proportional to 125,598 and 189,677

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Solution

The third proportional to 125,598 and 189,677 is: 286,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,598 : 189,677 = 189,677 : x
  2. Step 2: Convert to fraction form
    125,598/189,677 = 189,677/x
  3. Step 3: Cross multiply
    125,598x = 189,677 × 189,677
  4. Step 4: Simplify right side
    125,598x = 35,977,364,329
  5. Step 5: Solve for x
    x = 35,977,364,329/125,598
  6. Step 6: Final answer
    x = 286,448.54

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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.