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Finding the Third Proportional to 56,322 and 75,859

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Solution

The third proportional to 56,322 and 75,859 is: 102,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,322 : 75,859 = 75,859 : x
  2. Step 2: Convert to fraction form
    56,322/75,859 = 75,859/x
  3. Step 3: Cross multiply
    56,322x = 75,859 × 75,859
  4. Step 4: Simplify right side
    56,322x = 5,754,587,881
  5. Step 5: Solve for x
    x = 5,754,587,881/56,322
  6. Step 6: Final answer
    x = 102,173.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.