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Finding the Third Proportional to 52,618 and 115,423

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Solution

The third proportional to 52,618 and 115,423 is: 253,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,618 : 115,423 = 115,423 : x
  2. Step 2: Convert to fraction form
    52,618/115,423 = 115,423/x
  3. Step 3: Cross multiply
    52,618x = 115,423 × 115,423
  4. Step 4: Simplify right side
    52,618x = 13,322,468,929
  5. Step 5: Solve for x
    x = 13,322,468,929/52,618
  6. Step 6: Final answer
    x = 253,192.23

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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.