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Finding the Third Proportional to 125,073 and 188,685

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Solution

The third proportional to 125,073 and 188,685 is: 284,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,073 : 188,685 = 188,685 : x
  2. Step 2: Convert to fraction form
    125,073/188,685 = 188,685/x
  3. Step 3: Cross multiply
    125,073x = 188,685 × 188,685
  4. Step 4: Simplify right side
    125,073x = 35,602,029,225
  5. Step 5: Solve for x
    x = 35,602,029,225/125,073
  6. Step 6: Final answer
    x = 284,650.00

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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.