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Finding the Third Proportional to 129,752 and 281,659

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Solution

The third proportional to 129,752 and 281,659 is: 611,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,752 : 281,659 = 281,659 : x
  2. Step 2: Convert to fraction form
    129,752/281,659 = 281,659/x
  3. Step 3: Cross multiply
    129,752x = 281,659 × 281,659
  4. Step 4: Simplify right side
    129,752x = 79,331,792,281
  5. Step 5: Solve for x
    x = 79,331,792,281/129,752
  6. Step 6: Final answer
    x = 611,410.94

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Why These Related Problems?

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