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Finding the Third Proportional to 53,895 and 114,594

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Solution

The third proportional to 53,895 and 114,594 is: 243,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,895 : 114,594 = 114,594 : x
  2. Step 2: Convert to fraction form
    53,895/114,594 = 114,594/x
  3. Step 3: Cross multiply
    53,895x = 114,594 × 114,594
  4. Step 4: Simplify right side
    53,895x = 13,131,784,836
  5. Step 5: Solve for x
    x = 13,131,784,836/53,895
  6. Step 6: Final answer
    x = 243,654.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.