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Finding the Third Proportional to 70,128 and 152,145

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Solution

The third proportional to 70,128 and 152,145 is: 330,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,128 : 152,145 = 152,145 : x
  2. Step 2: Convert to fraction form
    70,128/152,145 = 152,145/x
  3. Step 3: Cross multiply
    70,128x = 152,145 × 152,145
  4. Step 4: Simplify right side
    70,128x = 23,148,101,025
  5. Step 5: Solve for x
    x = 23,148,101,025/70,128
  6. Step 6: Final answer
    x = 330,083.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.