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Finding the Third Proportional to 74,724 and 114,255

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Solution

The third proportional to 74,724 and 114,255 is: 174,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,724 : 114,255 = 114,255 : x
  2. Step 2: Convert to fraction form
    74,724/114,255 = 114,255/x
  3. Step 3: Cross multiply
    74,724x = 114,255 × 114,255
  4. Step 4: Simplify right side
    74,724x = 13,054,205,025
  5. Step 5: Solve for x
    x = 13,054,205,025/74,724
  6. Step 6: Final answer
    x = 174,698.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.