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Finding the Third Proportional to 55,966.06 and 120,953.50

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Solution

The third proportional to 55,966.06 and 120,953.50 is: 261,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,966.06 : 120,953.50 = 120,953.50 : x
  2. Step 2: Convert to fraction form
    55,966.06/120,953.50 = 120,953.50/x
  3. Step 3: Cross multiply
    55,966.06x = 120,953.50 × 120,953.50
  4. Step 4: Simplify right side
    55,966.06x = 14,629,749,162.25
  5. Step 5: Solve for x
    x = 14,629,749,162.25/55,966.06
  6. Step 6: Final answer
    x = 261,403.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.