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Finding the Third Proportional to 55,803 and 85,507.13

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Solution

The third proportional to 55,803 and 85,507.13 is: 131,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,803 : 85,507.13 = 85,507.13 : x
  2. Step 2: Convert to fraction form
    55,803/85,507.13 = 85,507.13/x
  3. Step 3: Cross multiply
    55,803x = 85,507.13 × 85,507.13
  4. Step 4: Simplify right side
    55,803x = 7,311,468,425.77
  5. Step 5: Solve for x
    x = 7,311,468,425.77/55,803
  6. Step 6: Final answer
    x = 131,022.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.