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Finding the Third Proportional to 92,719.13 and 132,463.69

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Solution

The third proportional to 92,719.13 and 132,463.69 is: 189,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,719.13 : 132,463.69 = 132,463.69 : x
  2. Step 2: Convert to fraction form
    92,719.13/132,463.69 = 132,463.69/x
  3. Step 3: Cross multiply
    92,719.13x = 132,463.69 × 132,463.69
  4. Step 4: Simplify right side
    92,719.13x = 17,546,628,506.10
  5. Step 5: Solve for x
    x = 17,546,628,506.10/92,719.13
  6. Step 6: Final answer
    x = 189,244.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.