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Finding the Third Proportional to 77,202 and 115,803

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Solution

The third proportional to 77,202 and 115,803 is: 173,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,202 : 115,803 = 115,803 : x
  2. Step 2: Convert to fraction form
    77,202/115,803 = 115,803/x
  3. Step 3: Cross multiply
    77,202x = 115,803 × 115,803
  4. Step 4: Simplify right side
    77,202x = 13,410,334,809
  5. Step 5: Solve for x
    x = 13,410,334,809/77,202
  6. Step 6: Final answer
    x = 173,704.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.