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Finding the Third Proportional to 125,224 and 162,564

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Solution

The third proportional to 125,224 and 162,564 is: 211,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,224 : 162,564 = 162,564 : x
  2. Step 2: Convert to fraction form
    125,224/162,564 = 162,564/x
  3. Step 3: Cross multiply
    125,224x = 162,564 × 162,564
  4. Step 4: Simplify right side
    125,224x = 26,427,054,096
  5. Step 5: Solve for x
    x = 26,427,054,096/125,224
  6. Step 6: Final answer
    x = 211,038.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.