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Finding the Third Proportional to 75,346 and 113,987

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Solution

The third proportional to 75,346 and 113,987 is: 172,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,346 : 113,987 = 113,987 : x
  2. Step 2: Convert to fraction form
    75,346/113,987 = 113,987/x
  3. Step 3: Cross multiply
    75,346x = 113,987 × 113,987
  4. Step 4: Simplify right side
    75,346x = 12,993,036,169
  5. Step 5: Solve for x
    x = 12,993,036,169/75,346
  6. Step 6: Final answer
    x = 172,444.94

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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.