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Finding the Third Proportional to 84,651 and 126,562.50

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Solution

The third proportional to 84,651 and 126,562.50 is: 189,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,651 : 126,562.50 = 126,562.50 : x
  2. Step 2: Convert to fraction form
    84,651/126,562.50 = 126,562.50/x
  3. Step 3: Cross multiply
    84,651x = 126,562.50 × 126,562.50
  4. Step 4: Simplify right side
    84,651x = 16,018,066,406.25
  5. Step 5: Solve for x
    x = 16,018,066,406.25/84,651
  6. Step 6: Final answer
    x = 189,224.77

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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.