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Finding the Third Proportional to 55,212 and 86,098.50

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Solution

The third proportional to 55,212 and 86,098.50 is: 134,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,212 : 86,098.50 = 86,098.50 : x
  2. Step 2: Convert to fraction form
    55,212/86,098.50 = 86,098.50/x
  3. Step 3: Cross multiply
    55,212x = 86,098.50 × 86,098.50
  4. Step 4: Simplify right side
    55,212x = 7,412,951,702.25
  5. Step 5: Solve for x
    x = 7,412,951,702.25/55,212
  6. Step 6: Final answer
    x = 134,263.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.