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Finding the Third Proportional to 58,231.75 and 85,501.75

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Solution

The third proportional to 58,231.75 and 85,501.75 is: 125,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,231.75 : 85,501.75 = 85,501.75 : x
  2. Step 2: Convert to fraction form
    58,231.75/85,501.75 = 85,501.75/x
  3. Step 3: Cross multiply
    58,231.75x = 85,501.75 × 85,501.75
  4. Step 4: Simplify right side
    58,231.75x = 7,310,549,253.06
  5. Step 5: Solve for x
    x = 7,310,549,253.06/58,231.75
  6. Step 6: Final answer
    x = 125,542.32

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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.