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Finding the Third Proportional to 86,527.50 and 191,842.50

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Solution

The third proportional to 86,527.50 and 191,842.50 is: 425,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,527.50 : 191,842.50 = 191,842.50 : x
  2. Step 2: Convert to fraction form
    86,527.50/191,842.50 = 191,842.50/x
  3. Step 3: Cross multiply
    86,527.50x = 191,842.50 × 191,842.50
  4. Step 4: Simplify right side
    86,527.50x = 36,803,544,806.25
  5. Step 5: Solve for x
    x = 36,803,544,806.25/86,527.50
  6. Step 6: Final answer
    x = 425,339.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.