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Finding the Third Proportional to 53,464 and 110,168

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Solution

The third proportional to 53,464 and 110,168 is: 227,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,464 : 110,168 = 110,168 : x
  2. Step 2: Convert to fraction form
    53,464/110,168 = 110,168/x
  3. Step 3: Cross multiply
    53,464x = 110,168 × 110,168
  4. Step 4: Simplify right side
    53,464x = 12,136,988,224
  5. Step 5: Solve for x
    x = 12,136,988,224/53,464
  6. Step 6: Final answer
    x = 227,012.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.