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Finding the Third Proportional to 85,052.63 and 125,118.38

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Solution

The third proportional to 85,052.63 and 125,118.38 is: 184,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,052.63 : 125,118.38 = 125,118.38 : x
  2. Step 2: Convert to fraction form
    85,052.63/125,118.38 = 125,118.38/x
  3. Step 3: Cross multiply
    85,052.63x = 125,118.38 × 125,118.38
  4. Step 4: Simplify right side
    85,052.63x = 15,654,607,762.64
  5. Step 5: Solve for x
    x = 15,654,607,762.64/85,052.63
  6. Step 6: Final answer
    x = 184,057.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.