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Finding the Third Proportional to 130,160 and 194,727

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Solution

The third proportional to 130,160 and 194,727 is: 291,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,160 : 194,727 = 194,727 : x
  2. Step 2: Convert to fraction form
    130,160/194,727 = 194,727/x
  3. Step 3: Cross multiply
    130,160x = 194,727 × 194,727
  4. Step 4: Simplify right side
    130,160x = 37,918,604,529
  5. Step 5: Solve for x
    x = 37,918,604,529/130,160
  6. Step 6: Final answer
    x = 291,323.02

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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.