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Finding the Third Proportional to 129,490.05 and 281,123.47

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Solution

The third proportional to 129,490.05 and 281,123.47 is: 610,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,490.05 : 281,123.47 = 281,123.47 : x
  2. Step 2: Convert to fraction form
    129,490.05/281,123.47 = 281,123.47/x
  3. Step 3: Cross multiply
    129,490.05x = 281,123.47 × 281,123.47
  4. Step 4: Simplify right side
    129,490.05x = 79,030,406,878.31
  5. Step 5: Solve for x
    x = 79,030,406,878.31/129,490.05
  6. Step 6: Final answer
    x = 610,320.31

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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.