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Finding the Third Proportional to 86,386.50 and 133,268.63

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Solution

The third proportional to 86,386.50 and 133,268.63 is: 205,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,386.50 : 133,268.63 = 133,268.63 : x
  2. Step 2: Convert to fraction form
    86,386.50/133,268.63 = 133,268.63/x
  3. Step 3: Cross multiply
    86,386.50x = 133,268.63 × 133,268.63
  4. Step 4: Simplify right side
    86,386.50x = 17,760,526,409.39
  5. Step 5: Solve for x
    x = 17,760,526,409.39/86,386.50
  6. Step 6: Final answer
    x = 205,593.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.