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Finding the Third Proportional to 84,513 and 126,506

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Solution

The third proportional to 84,513 and 126,506 is: 189,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,513 : 126,506 = 126,506 : x
  2. Step 2: Convert to fraction form
    84,513/126,506 = 126,506/x
  3. Step 3: Cross multiply
    84,513x = 126,506 × 126,506
  4. Step 4: Simplify right side
    84,513x = 16,003,768,036
  5. Step 5: Solve for x
    x = 16,003,768,036/84,513
  6. Step 6: Final answer
    x = 189,364.57

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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.