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Finding the Third Proportional to 55,661 and 86,197.50

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Solution

The third proportional to 55,661 and 86,197.50 is: 133,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,661 : 86,197.50 = 86,197.50 : x
  2. Step 2: Convert to fraction form
    55,661/86,197.50 = 86,197.50/x
  3. Step 3: Cross multiply
    55,661x = 86,197.50 × 86,197.50
  4. Step 4: Simplify right side
    55,661x = 7,430,009,006.25
  5. Step 5: Solve for x
    x = 7,430,009,006.25/55,661
  6. Step 6: Final answer
    x = 133,486.80

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