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Finding the Third Proportional to 117,088 and 173,024

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Solution

The third proportional to 117,088 and 173,024 is: 255,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,088 : 173,024 = 173,024 : x
  2. Step 2: Convert to fraction form
    117,088/173,024 = 173,024/x
  3. Step 3: Cross multiply
    117,088x = 173,024 × 173,024
  4. Step 4: Simplify right side
    117,088x = 29,937,304,576
  5. Step 5: Solve for x
    x = 29,937,304,576/117,088
  6. Step 6: Final answer
    x = 255,682.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.