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Finding the Third Proportional to 75,146 and 117,024

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Solution

The third proportional to 75,146 and 117,024 is: 182,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,146 : 117,024 = 117,024 : x
  2. Step 2: Convert to fraction form
    75,146/117,024 = 117,024/x
  3. Step 3: Cross multiply
    75,146x = 117,024 × 117,024
  4. Step 4: Simplify right side
    75,146x = 13,694,616,576
  5. Step 5: Solve for x
    x = 13,694,616,576/75,146
  6. Step 6: Final answer
    x = 182,240.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.