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Finding the Third Proportional to 59,064 and 93,924

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Solution

The third proportional to 59,064 and 93,924 is: 149,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,064 : 93,924 = 93,924 : x
  2. Step 2: Convert to fraction form
    59,064/93,924 = 93,924/x
  3. Step 3: Cross multiply
    59,064x = 93,924 × 93,924
  4. Step 4: Simplify right side
    59,064x = 8,821,717,776
  5. Step 5: Solve for x
    x = 8,821,717,776/59,064
  6. Step 6: Final answer
    x = 149,358.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.