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Finding the Third Proportional to 75,153 and 105,714

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Solution

The third proportional to 75,153 and 105,714 is: 148,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,153 : 105,714 = 105,714 : x
  2. Step 2: Convert to fraction form
    75,153/105,714 = 105,714/x
  3. Step 3: Cross multiply
    75,153x = 105,714 × 105,714
  4. Step 4: Simplify right side
    75,153x = 11,175,449,796
  5. Step 5: Solve for x
    x = 11,175,449,796/75,153
  6. Step 6: Final answer
    x = 148,702.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.