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Finding the Third Proportional to 86,919 and 134,513.50

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Solution

The third proportional to 86,919 and 134,513.50 is: 208,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,919 : 134,513.50 = 134,513.50 : x
  2. Step 2: Convert to fraction form
    86,919/134,513.50 = 134,513.50/x
  3. Step 3: Cross multiply
    86,919x = 134,513.50 × 134,513.50
  4. Step 4: Simplify right side
    86,919x = 18,093,881,682.25
  5. Step 5: Solve for x
    x = 18,093,881,682.25/86,919
  6. Step 6: Final answer
    x = 208,169.46

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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.