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Finding the Third Proportional to 93,471 and 140,178

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Solution

The third proportional to 93,471 and 140,178 is: 210,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,471 : 140,178 = 140,178 : x
  2. Step 2: Convert to fraction form
    93,471/140,178 = 140,178/x
  3. Step 3: Cross multiply
    93,471x = 140,178 × 140,178
  4. Step 4: Simplify right side
    93,471x = 19,649,871,684
  5. Step 5: Solve for x
    x = 19,649,871,684/93,471
  6. Step 6: Final answer
    x = 210,224.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.