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Finding the Third Proportional to 55,673 and 86,214.50

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Solution

The third proportional to 55,673 and 86,214.50 is: 133,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,673 : 86,214.50 = 86,214.50 : x
  2. Step 2: Convert to fraction form
    55,673/86,214.50 = 86,214.50/x
  3. Step 3: Cross multiply
    55,673x = 86,214.50 × 86,214.50
  4. Step 4: Simplify right side
    55,673x = 7,432,940,010.25
  5. Step 5: Solve for x
    x = 7,432,940,010.25/55,673
  6. Step 6: Final answer
    x = 133,510.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.