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Finding the Third Proportional to 59,958 and 93,249

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Solution

The third proportional to 59,958 and 93,249 is: 145,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,958 : 93,249 = 93,249 : x
  2. Step 2: Convert to fraction form
    59,958/93,249 = 93,249/x
  3. Step 3: Cross multiply
    59,958x = 93,249 × 93,249
  4. Step 4: Simplify right side
    59,958x = 8,695,376,001
  5. Step 5: Solve for x
    x = 8,695,376,001/59,958
  6. Step 6: Final answer
    x = 145,024.45

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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.