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Finding the Third Proportional to 75,352 and 113,998

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Solution

The third proportional to 75,352 and 113,998 is: 172,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,352 : 113,998 = 113,998 : x
  2. Step 2: Convert to fraction form
    75,352/113,998 = 113,998/x
  3. Step 3: Cross multiply
    75,352x = 113,998 × 113,998
  4. Step 4: Simplify right side
    75,352x = 12,995,544,004
  5. Step 5: Solve for x
    x = 12,995,544,004/75,352
  6. Step 6: Final answer
    x = 172,464.49

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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.