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Finding the Third Proportional to 53,685 and 114,282

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Solution

The third proportional to 53,685 and 114,282 is: 243,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,685 : 114,282 = 114,282 : x
  2. Step 2: Convert to fraction form
    53,685/114,282 = 114,282/x
  3. Step 3: Cross multiply
    53,685x = 114,282 × 114,282
  4. Step 4: Simplify right side
    53,685x = 13,060,375,524
  5. Step 5: Solve for x
    x = 13,060,375,524/53,685
  6. Step 6: Final answer
    x = 243,277.93

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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.