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Finding the Third Proportional to 117,699 and 167,668.50

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Solution

The third proportional to 117,699 and 167,668.50 is: 238,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,699 : 167,668.50 = 167,668.50 : x
  2. Step 2: Convert to fraction form
    117,699/167,668.50 = 167,668.50/x
  3. Step 3: Cross multiply
    117,699x = 167,668.50 × 167,668.50
  4. Step 4: Simplify right side
    117,699x = 28,112,725,892.25
  5. Step 5: Solve for x
    x = 28,112,725,892.25/117,699
  6. Step 6: Final answer
    x = 238,852.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.