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Finding the Third Proportional to 53,913 and 117,237

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Solution

The third proportional to 53,913 and 117,237 is: 254,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,913 : 117,237 = 117,237 : x
  2. Step 2: Convert to fraction form
    53,913/117,237 = 117,237/x
  3. Step 3: Cross multiply
    53,913x = 117,237 × 117,237
  4. Step 4: Simplify right side
    53,913x = 13,744,514,169
  5. Step 5: Solve for x
    x = 13,744,514,169/53,913
  6. Step 6: Final answer
    x = 254,938.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.