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Finding the Third Proportional to 56,761.50 and 121,673

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Solution

The third proportional to 56,761.50 and 121,673 is: 260,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,761.50 : 121,673 = 121,673 : x
  2. Step 2: Convert to fraction form
    56,761.50/121,673 = 121,673/x
  3. Step 3: Cross multiply
    56,761.50x = 121,673 × 121,673
  4. Step 4: Simplify right side
    56,761.50x = 14,804,318,929
  5. Step 5: Solve for x
    x = 14,804,318,929/56,761.50
  6. Step 6: Final answer
    x = 260,816.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.