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Finding the Third Proportional to 85,666.50 and 125,577

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Solution

The third proportional to 85,666.50 and 125,577 is: 184,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,666.50 : 125,577 = 125,577 : x
  2. Step 2: Convert to fraction form
    85,666.50/125,577 = 125,577/x
  3. Step 3: Cross multiply
    85,666.50x = 125,577 × 125,577
  4. Step 4: Simplify right side
    85,666.50x = 15,769,582,929
  5. Step 5: Solve for x
    x = 15,769,582,929/85,666.50
  6. Step 6: Final answer
    x = 184,081.09

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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.