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Finding the Third Proportional to 55,646 and 117,913

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Solution

The third proportional to 55,646 and 117,913 is: 249,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,646 : 117,913 = 117,913 : x
  2. Step 2: Convert to fraction form
    55,646/117,913 = 117,913/x
  3. Step 3: Cross multiply
    55,646x = 117,913 × 117,913
  4. Step 4: Simplify right side
    55,646x = 13,903,475,569
  5. Step 5: Solve for x
    x = 13,903,475,569/55,646
  6. Step 6: Final answer
    x = 249,855.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.