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Finding the Third Proportional to 130,005 and 194,157

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Solution

The third proportional to 130,005 and 194,157 is: 289,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,005 : 194,157 = 194,157 : x
  2. Step 2: Convert to fraction form
    130,005/194,157 = 194,157/x
  3. Step 3: Cross multiply
    130,005x = 194,157 × 194,157
  4. Step 4: Simplify right side
    130,005x = 37,696,940,649
  5. Step 5: Solve for x
    x = 37,696,940,649/130,005
  6. Step 6: Final answer
    x = 289,965.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.