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Finding the Third Proportional to 130,392 and 195,102

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Solution

The third proportional to 130,392 and 195,102 is: 291,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,392 : 195,102 = 195,102 : x
  2. Step 2: Convert to fraction form
    130,392/195,102 = 195,102/x
  3. Step 3: Cross multiply
    130,392x = 195,102 × 195,102
  4. Step 4: Simplify right side
    130,392x = 38,064,790,404
  5. Step 5: Solve for x
    x = 38,064,790,404/130,392
  6. Step 6: Final answer
    x = 291,925.81

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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.