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Finding the Third Proportional to 55,138 and 86,784

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Solution

The third proportional to 55,138 and 86,784 is: 136,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,138 : 86,784 = 86,784 : x
  2. Step 2: Convert to fraction form
    55,138/86,784 = 86,784/x
  3. Step 3: Cross multiply
    55,138x = 86,784 × 86,784
  4. Step 4: Simplify right side
    55,138x = 7,531,462,656
  5. Step 5: Solve for x
    x = 7,531,462,656/55,138
  6. Step 6: Final answer
    x = 136,592.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.