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Finding the Third Proportional to 130,718 and 195,554

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Solution

The third proportional to 130,718 and 195,554 is: 292,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,718 : 195,554 = 195,554 : x
  2. Step 2: Convert to fraction form
    130,718/195,554 = 195,554/x
  3. Step 3: Cross multiply
    130,718x = 195,554 × 195,554
  4. Step 4: Simplify right side
    130,718x = 38,241,366,916
  5. Step 5: Solve for x
    x = 38,241,366,916/130,718
  6. Step 6: Final answer
    x = 292,548.59

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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.