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Finding the Third Proportional to 55,913.63 and 85,168.13

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Solution

The third proportional to 55,913.63 and 85,168.13 is: 129,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,913.63 : 85,168.13 = 85,168.13 : x
  2. Step 2: Convert to fraction form
    55,913.63/85,168.13 = 85,168.13/x
  3. Step 3: Cross multiply
    55,913.63x = 85,168.13 × 85,168.13
  4. Step 4: Simplify right side
    55,913.63x = 7,253,609,516.02
  5. Step 5: Solve for x
    x = 7,253,609,516.02/55,913.63
  6. Step 6: Final answer
    x = 129,728.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.