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Finding the Third Proportional to 53,285 and 114,346

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Solution

The third proportional to 53,285 and 114,346 is: 245,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,285 : 114,346 = 114,346 : x
  2. Step 2: Convert to fraction form
    53,285/114,346 = 114,346/x
  3. Step 3: Cross multiply
    53,285x = 114,346 × 114,346
  4. Step 4: Simplify right side
    53,285x = 13,075,007,716
  5. Step 5: Solve for x
    x = 13,075,007,716/53,285
  6. Step 6: Final answer
    x = 245,378.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.