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Finding the Third Proportional to 73,908.50 and 114,143

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Solution

The third proportional to 73,908.50 and 114,143 is: 176,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,908.50 : 114,143 = 114,143 : x
  2. Step 2: Convert to fraction form
    73,908.50/114,143 = 114,143/x
  3. Step 3: Cross multiply
    73,908.50x = 114,143 × 114,143
  4. Step 4: Simplify right side
    73,908.50x = 13,028,624,449
  5. Step 5: Solve for x
    x = 13,028,624,449/73,908.50
  6. Step 6: Final answer
    x = 176,280.46

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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.