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Finding the Third Proportional to 130,554 and 195,336

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Solution

The third proportional to 130,554 and 195,336 is: 292,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,554 : 195,336 = 195,336 : x
  2. Step 2: Convert to fraction form
    130,554/195,336 = 195,336/x
  3. Step 3: Cross multiply
    130,554x = 195,336 × 195,336
  4. Step 4: Simplify right side
    130,554x = 38,156,152,896
  5. Step 5: Solve for x
    x = 38,156,152,896/130,554
  6. Step 6: Final answer
    x = 292,263.38

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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.