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Finding the Third Proportional to 53,584 and 117,373

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Solution

The third proportional to 53,584 and 117,373 is: 257,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,584 : 117,373 = 117,373 : x
  2. Step 2: Convert to fraction form
    53,584/117,373 = 117,373/x
  3. Step 3: Cross multiply
    53,584x = 117,373 × 117,373
  4. Step 4: Simplify right side
    53,584x = 13,776,421,129
  5. Step 5: Solve for x
    x = 13,776,421,129/53,584
  6. Step 6: Final answer
    x = 257,099.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.