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Finding the Third Proportional to 53,386 and 113,357

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Solution

The third proportional to 53,386 and 113,357 is: 240,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,386 : 113,357 = 113,357 : x
  2. Step 2: Convert to fraction form
    53,386/113,357 = 113,357/x
  3. Step 3: Cross multiply
    53,386x = 113,357 × 113,357
  4. Step 4: Simplify right side
    53,386x = 12,849,809,449
  5. Step 5: Solve for x
    x = 12,849,809,449/53,386
  6. Step 6: Final answer
    x = 240,696.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.