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Finding the Third Proportional to 129,039.75 and 277,853.63

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Solution

The third proportional to 129,039.75 and 277,853.63 is: 598,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,039.75 : 277,853.63 = 277,853.63 : x
  2. Step 2: Convert to fraction form
    129,039.75/277,853.63 = 277,853.63/x
  3. Step 3: Cross multiply
    129,039.75x = 277,853.63 × 277,853.63
  4. Step 4: Simplify right side
    129,039.75x = 77,202,636,925.64
  5. Step 5: Solve for x
    x = 77,202,636,925.64/129,039.75
  6. Step 6: Final answer
    x = 598,285.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.