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Finding the Third Proportional to 53,357 and 114,490

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Solution

The third proportional to 53,357 and 114,490 is: 245,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,357 : 114,490 = 114,490 : x
  2. Step 2: Convert to fraction form
    53,357/114,490 = 114,490/x
  3. Step 3: Cross multiply
    53,357x = 114,490 × 114,490
  4. Step 4: Simplify right side
    53,357x = 13,107,960,100
  5. Step 5: Solve for x
    x = 13,107,960,100/53,357
  6. Step 6: Final answer
    x = 245,665.24

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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.