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Finding the Third Proportional to 74,183 and 153,550

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Solution

The third proportional to 74,183 and 153,550 is: 317,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,183 : 153,550 = 153,550 : x
  2. Step 2: Convert to fraction form
    74,183/153,550 = 153,550/x
  3. Step 3: Cross multiply
    74,183x = 153,550 × 153,550
  4. Step 4: Simplify right side
    74,183x = 23,577,602,500
  5. Step 5: Solve for x
    x = 23,577,602,500/74,183
  6. Step 6: Final answer
    x = 317,830.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.