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Finding the Third Proportional to 58,204.50 and 86,215.50

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Solution

The third proportional to 58,204.50 and 86,215.50 is: 127,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,204.50 : 86,215.50 = 86,215.50 : x
  2. Step 2: Convert to fraction form
    58,204.50/86,215.50 = 86,215.50/x
  3. Step 3: Cross multiply
    58,204.50x = 86,215.50 × 86,215.50
  4. Step 4: Simplify right side
    58,204.50x = 7,433,112,440.25
  5. Step 5: Solve for x
    x = 7,433,112,440.25/58,204.50
  6. Step 6: Final answer
    x = 127,706.83

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