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Finding the Third Proportional to 86,569.50 and 135,322.50

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Solution

The third proportional to 86,569.50 and 135,322.50 is: 211,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,569.50 : 135,322.50 = 135,322.50 : x
  2. Step 2: Convert to fraction form
    86,569.50/135,322.50 = 135,322.50/x
  3. Step 3: Cross multiply
    86,569.50x = 135,322.50 × 135,322.50
  4. Step 4: Simplify right side
    86,569.50x = 18,312,179,006.25
  5. Step 5: Solve for x
    x = 18,312,179,006.25/86,569.50
  6. Step 6: Final answer
    x = 211,531.53

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Why These Related Problems?

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