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Finding the Third Proportional to 52,362 and 114,497

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Solution

The third proportional to 52,362 and 114,497 is: 250,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,362 : 114,497 = 114,497 : x
  2. Step 2: Convert to fraction form
    52,362/114,497 = 114,497/x
  3. Step 3: Cross multiply
    52,362x = 114,497 × 114,497
  4. Step 4: Simplify right side
    52,362x = 13,109,563,009
  5. Step 5: Solve for x
    x = 13,109,563,009/52,362
  6. Step 6: Final answer
    x = 250,364.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.