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Finding the Third Proportional to 86,597 and 135,362.50

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Solution

The third proportional to 86,597 and 135,362.50 is: 211,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,597 : 135,362.50 = 135,362.50 : x
  2. Step 2: Convert to fraction form
    86,597/135,362.50 = 135,362.50/x
  3. Step 3: Cross multiply
    86,597x = 135,362.50 × 135,362.50
  4. Step 4: Simplify right side
    86,597x = 18,323,006,406.25
  5. Step 5: Solve for x
    x = 18,323,006,406.25/86,597
  6. Step 6: Final answer
    x = 211,589.39

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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.