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Finding the Third Proportional to 130,738 and 195,594

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Solution

The third proportional to 130,738 and 195,594 is: 292,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,738 : 195,594 = 195,594 : x
  2. Step 2: Convert to fraction form
    130,738/195,594 = 195,594/x
  3. Step 3: Cross multiply
    130,738x = 195,594 × 195,594
  4. Step 4: Simplify right side
    130,738x = 38,257,012,836
  5. Step 5: Solve for x
    x = 38,257,012,836/130,738
  6. Step 6: Final answer
    x = 292,623.51

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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.