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Finding the Third Proportional to 56,596.50 and 121,887

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Solution

The third proportional to 56,596.50 and 121,887 is: 262,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,596.50 : 121,887 = 121,887 : x
  2. Step 2: Convert to fraction form
    56,596.50/121,887 = 121,887/x
  3. Step 3: Cross multiply
    56,596.50x = 121,887 × 121,887
  4. Step 4: Simplify right side
    56,596.50x = 14,856,440,769
  5. Step 5: Solve for x
    x = 14,856,440,769/56,596.50
  6. Step 6: Final answer
    x = 262,497.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.