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Finding the Third Proportional to 135,762 and 178,527

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Solution

The third proportional to 135,762 and 178,527 is: 234,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,762 : 178,527 = 178,527 : x
  2. Step 2: Convert to fraction form
    135,762/178,527 = 178,527/x
  3. Step 3: Cross multiply
    135,762x = 178,527 × 178,527
  4. Step 4: Simplify right side
    135,762x = 31,871,889,729
  5. Step 5: Solve for x
    x = 31,871,889,729/135,762
  6. Step 6: Final answer
    x = 234,762.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.