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Finding the Third Proportional to 59,461 and 91,857

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Solution

The third proportional to 59,461 and 91,857 is: 141,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,461 : 91,857 = 91,857 : x
  2. Step 2: Convert to fraction form
    59,461/91,857 = 91,857/x
  3. Step 3: Cross multiply
    59,461x = 91,857 × 91,857
  4. Step 4: Simplify right side
    59,461x = 8,437,708,449
  5. Step 5: Solve for x
    x = 8,437,708,449/59,461
  6. Step 6: Final answer
    x = 141,903.24

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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.