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Finding the Third Proportional to 59,266 and 91,708

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Solution

The third proportional to 59,266 and 91,708 is: 141,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,266 : 91,708 = 91,708 : x
  2. Step 2: Convert to fraction form
    59,266/91,708 = 91,708/x
  3. Step 3: Cross multiply
    59,266x = 91,708 × 91,708
  4. Step 4: Simplify right side
    59,266x = 8,410,357,264
  5. Step 5: Solve for x
    x = 8,410,357,264/59,266
  6. Step 6: Final answer
    x = 141,908.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.