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Finding the Third Proportional to 53,024 and 114,173

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Solution

The third proportional to 53,024 and 114,173 is: 245,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,024 : 114,173 = 114,173 : x
  2. Step 2: Convert to fraction form
    53,024/114,173 = 114,173/x
  3. Step 3: Cross multiply
    53,024x = 114,173 × 114,173
  4. Step 4: Simplify right side
    53,024x = 13,035,473,929
  5. Step 5: Solve for x
    x = 13,035,473,929/53,024
  6. Step 6: Final answer
    x = 245,841.01

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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.