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Finding the Third Proportional to 117,599 and 158,013

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Solution

The third proportional to 117,599 and 158,013 is: 212,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,599 : 158,013 = 158,013 : x
  2. Step 2: Convert to fraction form
    117,599/158,013 = 158,013/x
  3. Step 3: Cross multiply
    117,599x = 158,013 × 158,013
  4. Step 4: Simplify right side
    117,599x = 24,968,108,169
  5. Step 5: Solve for x
    x = 24,968,108,169/117,599
  6. Step 6: Final answer
    x = 212,315.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.