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Finding the Third Proportional to 52,983 and 110,276

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Solution

The third proportional to 52,983 and 110,276 is: 229,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,983 : 110,276 = 110,276 : x
  2. Step 2: Convert to fraction form
    52,983/110,276 = 110,276/x
  3. Step 3: Cross multiply
    52,983x = 110,276 × 110,276
  4. Step 4: Simplify right side
    52,983x = 12,160,796,176
  5. Step 5: Solve for x
    x = 12,160,796,176/52,983
  6. Step 6: Final answer
    x = 229,522.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.