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Finding the Third Proportional to 75,924 and 113,859

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Solution

The third proportional to 75,924 and 113,859 is: 170,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,924 : 113,859 = 113,859 : x
  2. Step 2: Convert to fraction form
    75,924/113,859 = 113,859/x
  3. Step 3: Cross multiply
    75,924x = 113,859 × 113,859
  4. Step 4: Simplify right side
    75,924x = 12,963,871,881
  5. Step 5: Solve for x
    x = 12,963,871,881/75,924
  6. Step 6: Final answer
    x = 170,748.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.