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Finding the Third Proportional to 53,080 and 114,024

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Solution

The third proportional to 53,080 and 114,024 is: 244,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,080 : 114,024 = 114,024 : x
  2. Step 2: Convert to fraction form
    53,080/114,024 = 114,024/x
  3. Step 3: Cross multiply
    53,080x = 114,024 × 114,024
  4. Step 4: Simplify right side
    53,080x = 13,001,472,576
  5. Step 5: Solve for x
    x = 13,001,472,576/53,080
  6. Step 6: Final answer
    x = 244,941.08

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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.