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Finding the Third Proportional to 125,082 and 188,709

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Solution

The third proportional to 125,082 and 188,709 is: 284,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,082 : 188,709 = 188,709 : x
  2. Step 2: Convert to fraction form
    125,082/188,709 = 188,709/x
  3. Step 3: Cross multiply
    125,082x = 188,709 × 188,709
  4. Step 4: Simplify right side
    125,082x = 35,611,086,681
  5. Step 5: Solve for x
    x = 35,611,086,681/125,082
  6. Step 6: Final answer
    x = 284,701.93

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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.