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Finding the Third Proportional to 56,362.50 and 86,663.25

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Solution

The third proportional to 56,362.50 and 86,663.25 is: 133,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,362.50 : 86,663.25 = 86,663.25 : x
  2. Step 2: Convert to fraction form
    56,362.50/86,663.25 = 86,663.25/x
  3. Step 3: Cross multiply
    56,362.50x = 86,663.25 × 86,663.25
  4. Step 4: Simplify right side
    56,362.50x = 7,510,518,900.56
  5. Step 5: Solve for x
    x = 7,510,518,900.56/56,362.50
  6. Step 6: Final answer
    x = 133,253.83

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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.