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Finding the Third Proportional to 53,024 and 117,088

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Solution

The third proportional to 53,024 and 117,088 is: 258,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,024 : 117,088 = 117,088 : x
  2. Step 2: Convert to fraction form
    53,024/117,088 = 117,088/x
  3. Step 3: Cross multiply
    53,024x = 117,088 × 117,088
  4. Step 4: Simplify right side
    53,024x = 13,709,599,744
  5. Step 5: Solve for x
    x = 13,709,599,744/53,024
  6. Step 6: Final answer
    x = 258,554.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.