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Finding the Third Proportional to 55,433.63 and 121,597.88

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Solution

The third proportional to 55,433.63 and 121,597.88 is: 266,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,433.63 : 121,597.88 = 121,597.88 : x
  2. Step 2: Convert to fraction form
    55,433.63/121,597.88 = 121,597.88/x
  3. Step 3: Cross multiply
    55,433.63x = 121,597.88 × 121,597.88
  4. Step 4: Simplify right side
    55,433.63x = 14,786,043,204.52
  5. Step 5: Solve for x
    x = 14,786,043,204.52/55,433.63
  6. Step 6: Final answer
    x = 266,734.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.