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Finding the Third Proportional to 59,694 and 93,173

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Solution

The third proportional to 59,694 and 93,173 is: 145,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,694 : 93,173 = 93,173 : x
  2. Step 2: Convert to fraction form
    59,694/93,173 = 93,173/x
  3. Step 3: Cross multiply
    59,694x = 93,173 × 93,173
  4. Step 4: Simplify right side
    59,694x = 8,681,207,929
  5. Step 5: Solve for x
    x = 8,681,207,929/59,694
  6. Step 6: Final answer
    x = 145,428.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.