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Finding the Third Proportional to 124,773 and 162,738

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Solution

The third proportional to 124,773 and 162,738 is: 212,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,773 : 162,738 = 162,738 : x
  2. Step 2: Convert to fraction form
    124,773/162,738 = 162,738/x
  3. Step 3: Cross multiply
    124,773x = 162,738 × 162,738
  4. Step 4: Simplify right side
    124,773x = 26,483,656,644
  5. Step 5: Solve for x
    x = 26,483,656,644/124,773
  6. Step 6: Final answer
    x = 212,254.71

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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.