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Finding the Third Proportional to 130,644 and 190,924

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Solution

The third proportional to 130,644 and 190,924 is: 279,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,644 : 190,924 = 190,924 : x
  2. Step 2: Convert to fraction form
    130,644/190,924 = 190,924/x
  3. Step 3: Cross multiply
    130,644x = 190,924 × 190,924
  4. Step 4: Simplify right side
    130,644x = 36,451,973,776
  5. Step 5: Solve for x
    x = 36,451,973,776/130,644
  6. Step 6: Final answer
    x = 279,017.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.