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Finding the Third Proportional to 117,083 and 167,308.50

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Solution

The third proportional to 117,083 and 167,308.50 is: 239,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,083 : 167,308.50 = 167,308.50 : x
  2. Step 2: Convert to fraction form
    117,083/167,308.50 = 167,308.50/x
  3. Step 3: Cross multiply
    117,083x = 167,308.50 × 167,308.50
  4. Step 4: Simplify right side
    117,083x = 27,992,134,172.25
  5. Step 5: Solve for x
    x = 27,992,134,172.25/117,083
  6. Step 6: Final answer
    x = 239,079.41

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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.