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Finding the Third Proportional to 58,203.50 and 86,214

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Solution

The third proportional to 58,203.50 and 86,214 is: 127,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,203.50 : 86,214 = 86,214 : x
  2. Step 2: Convert to fraction form
    58,203.50/86,214 = 86,214/x
  3. Step 3: Cross multiply
    58,203.50x = 86,214 × 86,214
  4. Step 4: Simplify right side
    58,203.50x = 7,432,853,796
  5. Step 5: Solve for x
    x = 7,432,853,796/58,203.50
  6. Step 6: Final answer
    x = 127,704.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.