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Finding the Third Proportional to 53,606 and 117,209

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Solution

The third proportional to 53,606 and 117,209 is: 256,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,606 : 117,209 = 117,209 : x
  2. Step 2: Convert to fraction form
    53,606/117,209 = 117,209/x
  3. Step 3: Cross multiply
    53,606x = 117,209 × 117,209
  4. Step 4: Simplify right side
    53,606x = 13,737,949,681
  5. Step 5: Solve for x
    x = 13,737,949,681/53,606
  6. Step 6: Final answer
    x = 256,276.34

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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.