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Finding the Third Proportional to 114,129 and 168,237

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Solution

The third proportional to 114,129 and 168,237 is: 247,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,129 : 168,237 = 168,237 : x
  2. Step 2: Convert to fraction form
    114,129/168,237 = 168,237/x
  3. Step 3: Cross multiply
    114,129x = 168,237 × 168,237
  4. Step 4: Simplify right side
    114,129x = 28,303,688,169
  5. Step 5: Solve for x
    x = 28,303,688,169/114,129
  6. Step 6: Final answer
    x = 247,997.34

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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.