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Finding the Third Proportional to 129,070.69 and 279,588.94

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Solution

The third proportional to 129,070.69 and 279,588.94 is: 605,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,070.69 : 279,588.94 = 279,588.94 : x
  2. Step 2: Convert to fraction form
    129,070.69/279,588.94 = 279,588.94/x
  3. Step 3: Cross multiply
    129,070.69x = 279,588.94 × 279,588.94
  4. Step 4: Simplify right side
    129,070.69x = 78,169,973,972.38
  5. Step 5: Solve for x
    x = 78,169,973,972.38/129,070.69
  6. Step 6: Final answer
    x = 605,636.92

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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.