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Finding the Third Proportional to 114,531 and 173,052

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Solution

The third proportional to 114,531 and 173,052 is: 261,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,531 : 173,052 = 173,052 : x
  2. Step 2: Convert to fraction form
    114,531/173,052 = 173,052/x
  3. Step 3: Cross multiply
    114,531x = 173,052 × 173,052
  4. Step 4: Simplify right side
    114,531x = 29,946,994,704
  5. Step 5: Solve for x
    x = 29,946,994,704/114,531
  6. Step 6: Final answer
    x = 261,475.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.