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Finding the Third Proportional to 53,524.75 and 116,584

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Solution

The third proportional to 53,524.75 and 116,584 is: 253,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,524.75 : 116,584 = 116,584 : x
  2. Step 2: Convert to fraction form
    53,524.75/116,584 = 116,584/x
  3. Step 3: Cross multiply
    53,524.75x = 116,584 × 116,584
  4. Step 4: Simplify right side
    53,524.75x = 13,591,829,056
  5. Step 5: Solve for x
    x = 13,591,829,056/53,524.75
  6. Step 6: Final answer
    x = 253,935.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.