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Finding the Third Proportional to 129,120.75 and 279,681.75

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Solution

The third proportional to 129,120.75 and 279,681.75 is: 605,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,120.75 : 279,681.75 = 279,681.75 : x
  2. Step 2: Convert to fraction form
    129,120.75/279,681.75 = 279,681.75/x
  3. Step 3: Cross multiply
    129,120.75x = 279,681.75 × 279,681.75
  4. Step 4: Simplify right side
    129,120.75x = 78,221,881,283.06
  5. Step 5: Solve for x
    x = 78,221,881,283.06/129,120.75
  6. Step 6: Final answer
    x = 605,804.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.