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Finding the Third Proportional to 59,113 and 90,857

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Solution

The third proportional to 59,113 and 90,857 is: 139,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,113 : 90,857 = 90,857 : x
  2. Step 2: Convert to fraction form
    59,113/90,857 = 90,857/x
  3. Step 3: Cross multiply
    59,113x = 90,857 × 90,857
  4. Step 4: Simplify right side
    59,113x = 8,254,994,449
  5. Step 5: Solve for x
    x = 8,254,994,449/59,113
  6. Step 6: Final answer
    x = 139,647.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.