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Finding the Third Proportional to 71,798 and 152,236

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Solution

The third proportional to 71,798 and 152,236 is: 322,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,798 : 152,236 = 152,236 : x
  2. Step 2: Convert to fraction form
    71,798/152,236 = 152,236/x
  3. Step 3: Cross multiply
    71,798x = 152,236 × 152,236
  4. Step 4: Simplify right side
    71,798x = 23,175,799,696
  5. Step 5: Solve for x
    x = 23,175,799,696/71,798
  6. Step 6: Final answer
    x = 322,791.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.