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Finding the Third Proportional to 125,223 and 187,888.50

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Solution

The third proportional to 125,223 and 187,888.50 is: 281,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,223 : 187,888.50 = 187,888.50 : x
  2. Step 2: Convert to fraction form
    125,223/187,888.50 = 187,888.50/x
  3. Step 3: Cross multiply
    125,223x = 187,888.50 × 187,888.50
  4. Step 4: Simplify right side
    125,223x = 35,302,088,432.25
  5. Step 5: Solve for x
    x = 35,302,088,432.25/125,223
  6. Step 6: Final answer
    x = 281,913.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.