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Finding the Third Proportional to 130,158 and 194,724

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Solution

The third proportional to 130,158 and 194,724 is: 291,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,158 : 194,724 = 194,724 : x
  2. Step 2: Convert to fraction form
    130,158/194,724 = 194,724/x
  3. Step 3: Cross multiply
    130,158x = 194,724 × 194,724
  4. Step 4: Simplify right side
    130,158x = 37,917,436,176
  5. Step 5: Solve for x
    x = 37,917,436,176/130,158
  6. Step 6: Final answer
    x = 291,318.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.