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Finding the Third Proportional to 77,425.50 and 109,027.50

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Solution

The third proportional to 77,425.50 and 109,027.50 is: 153,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,425.50 : 109,027.50 = 109,027.50 : x
  2. Step 2: Convert to fraction form
    77,425.50/109,027.50 = 109,027.50/x
  3. Step 3: Cross multiply
    77,425.50x = 109,027.50 × 109,027.50
  4. Step 4: Simplify right side
    77,425.50x = 11,886,995,756.25
  5. Step 5: Solve for x
    x = 11,886,995,756.25/77,425.50
  6. Step 6: Final answer
    x = 153,528.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.