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Finding the Third Proportional to 91,780 and 134,347

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Solution

The third proportional to 91,780 and 134,347 is: 196,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,780 : 134,347 = 134,347 : x
  2. Step 2: Convert to fraction form
    91,780/134,347 = 134,347/x
  3. Step 3: Cross multiply
    91,780x = 134,347 × 134,347
  4. Step 4: Simplify right side
    91,780x = 18,049,116,409
  5. Step 5: Solve for x
    x = 18,049,116,409/91,780
  6. Step 6: Final answer
    x = 196,656.31

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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.