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Finding the Third Proportional to 129,128 and 279,004

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Solution

The third proportional to 129,128 and 279,004 is: 602,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,128 : 279,004 = 279,004 : x
  2. Step 2: Convert to fraction form
    129,128/279,004 = 279,004/x
  3. Step 3: Cross multiply
    129,128x = 279,004 × 279,004
  4. Step 4: Simplify right side
    129,128x = 77,843,232,016
  5. Step 5: Solve for x
    x = 77,843,232,016/129,128
  6. Step 6: Final answer
    x = 602,837.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.