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Finding the Third Proportional to 53,102 and 113,584

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Solution

The third proportional to 53,102 and 113,584 is: 242,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,102 : 113,584 = 113,584 : x
  2. Step 2: Convert to fraction form
    53,102/113,584 = 113,584/x
  3. Step 3: Cross multiply
    53,102x = 113,584 × 113,584
  4. Step 4: Simplify right side
    53,102x = 12,901,325,056
  5. Step 5: Solve for x
    x = 12,901,325,056/53,102
  6. Step 6: Final answer
    x = 242,953.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.