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Finding the Third Proportional to 117,004 and 167,199.50

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Solution

The third proportional to 117,004 and 167,199.50 is: 238,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,004 : 167,199.50 = 167,199.50 : x
  2. Step 2: Convert to fraction form
    117,004/167,199.50 = 167,199.50/x
  3. Step 3: Cross multiply
    117,004x = 167,199.50 × 167,199.50
  4. Step 4: Simplify right side
    117,004x = 27,955,672,800.25
  5. Step 5: Solve for x
    x = 27,955,672,800.25/117,004
  6. Step 6: Final answer
    x = 238,929.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.