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Finding the Third Proportional to 52,354 and 116,318

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Solution

The third proportional to 52,354 and 116,318 is: 258,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,354 : 116,318 = 116,318 : x
  2. Step 2: Convert to fraction form
    52,354/116,318 = 116,318/x
  3. Step 3: Cross multiply
    52,354x = 116,318 × 116,318
  4. Step 4: Simplify right side
    52,354x = 13,529,877,124
  5. Step 5: Solve for x
    x = 13,529,877,124/52,354
  6. Step 6: Final answer
    x = 258,430.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.