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Finding the Third Proportional to 91,762 and 134,101

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Solution

The third proportional to 91,762 and 134,101 is: 195,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,762 : 134,101 = 134,101 : x
  2. Step 2: Convert to fraction form
    91,762/134,101 = 134,101/x
  3. Step 3: Cross multiply
    91,762x = 134,101 × 134,101
  4. Step 4: Simplify right side
    91,762x = 17,983,078,201
  5. Step 5: Solve for x
    x = 17,983,078,201/91,762
  6. Step 6: Final answer
    x = 195,975.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.