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Finding the Third Proportional to 70,740 and 152,904

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Solution

The third proportional to 70,740 and 152,904 is: 330,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,740 : 152,904 = 152,904 : x
  2. Step 2: Convert to fraction form
    70,740/152,904 = 152,904/x
  3. Step 3: Cross multiply
    70,740x = 152,904 × 152,904
  4. Step 4: Simplify right side
    70,740x = 23,379,633,216
  5. Step 5: Solve for x
    x = 23,379,633,216/70,740
  6. Step 6: Final answer
    x = 330,500.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.