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Finding the Third Proportional to 130,734 and 195,588

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Solution

The third proportional to 130,734 and 195,588 is: 292,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,734 : 195,588 = 195,588 : x
  2. Step 2: Convert to fraction form
    130,734/195,588 = 195,588/x
  3. Step 3: Cross multiply
    130,734x = 195,588 × 195,588
  4. Step 4: Simplify right side
    130,734x = 38,254,665,744
  5. Step 5: Solve for x
    x = 38,254,665,744/130,734
  6. Step 6: Final answer
    x = 292,614.51

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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.