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Finding the Third Proportional to 53,766 and 118,237

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Solution

The third proportional to 53,766 and 118,237 is: 260,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,766 : 118,237 = 118,237 : x
  2. Step 2: Convert to fraction form
    53,766/118,237 = 118,237/x
  3. Step 3: Cross multiply
    53,766x = 118,237 × 118,237
  4. Step 4: Simplify right side
    53,766x = 13,979,988,169
  5. Step 5: Solve for x
    x = 13,979,988,169/53,766
  6. Step 6: Final answer
    x = 260,015.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.