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Finding the Third Proportional to 53,595 and 114,315

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Solution

The third proportional to 53,595 and 114,315 is: 243,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,595 : 114,315 = 114,315 : x
  2. Step 2: Convert to fraction form
    53,595/114,315 = 114,315/x
  3. Step 3: Cross multiply
    53,595x = 114,315 × 114,315
  4. Step 4: Simplify right side
    53,595x = 13,067,919,225
  5. Step 5: Solve for x
    x = 13,067,919,225/53,595
  6. Step 6: Final answer
    x = 243,827.21

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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.