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Finding the Third Proportional to 113,831.50 and 167,056.50

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Solution

The third proportional to 113,831.50 and 167,056.50 is: 245,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,831.50 : 167,056.50 = 167,056.50 : x
  2. Step 2: Convert to fraction form
    113,831.50/167,056.50 = 167,056.50/x
  3. Step 3: Cross multiply
    113,831.50x = 167,056.50 × 167,056.50
  4. Step 4: Simplify right side
    113,831.50x = 27,907,874,192.25
  5. Step 5: Solve for x
    x = 27,907,874,192.25/113,831.50
  6. Step 6: Final answer
    x = 245,168.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.