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Finding the Third Proportional to 55,663 and 86,200.50

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Solution

The third proportional to 55,663 and 86,200.50 is: 133,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,663 : 86,200.50 = 86,200.50 : x
  2. Step 2: Convert to fraction form
    55,663/86,200.50 = 86,200.50/x
  3. Step 3: Cross multiply
    55,663x = 86,200.50 × 86,200.50
  4. Step 4: Simplify right side
    55,663x = 7,430,526,200.25
  5. Step 5: Solve for x
    x = 7,430,526,200.25/55,663
  6. Step 6: Final answer
    x = 133,491.30

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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.