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Finding the Third Proportional to 93,831.50 and 138,274.50

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Solution

The third proportional to 93,831.50 and 138,274.50 is: 203,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,831.50 : 138,274.50 = 138,274.50 : x
  2. Step 2: Convert to fraction form
    93,831.50/138,274.50 = 138,274.50/x
  3. Step 3: Cross multiply
    93,831.50x = 138,274.50 × 138,274.50
  4. Step 4: Simplify right side
    93,831.50x = 19,119,837,350.25
  5. Step 5: Solve for x
    x = 19,119,837,350.25/93,831.50
  6. Step 6: Final answer
    x = 203,767.79

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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.