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Finding the Third Proportional to 70,242 and 152,148

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Solution

The third proportional to 70,242 and 152,148 is: 329,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,242 : 152,148 = 152,148 : x
  2. Step 2: Convert to fraction form
    70,242/152,148 = 152,148/x
  3. Step 3: Cross multiply
    70,242x = 152,148 × 152,148
  4. Step 4: Simplify right side
    70,242x = 23,149,013,904
  5. Step 5: Solve for x
    x = 23,149,013,904/70,242
  6. Step 6: Final answer
    x = 329,560.86

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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.