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Finding the Third Proportional to 114,534 and 168,381

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Solution

The third proportional to 114,534 and 168,381 is: 247,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,534 : 168,381 = 168,381 : x
  2. Step 2: Convert to fraction form
    114,534/168,381 = 168,381/x
  3. Step 3: Cross multiply
    114,534x = 168,381 × 168,381
  4. Step 4: Simplify right side
    114,534x = 28,352,161,161
  5. Step 5: Solve for x
    x = 28,352,161,161/114,534
  6. Step 6: Final answer
    x = 247,543.62

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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.