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Finding the Third Proportional to 74,609 and 160,261

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Solution

The third proportional to 74,609 and 160,261 is: 344,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,609 : 160,261 = 160,261 : x
  2. Step 2: Convert to fraction form
    74,609/160,261 = 160,261/x
  3. Step 3: Cross multiply
    74,609x = 160,261 × 160,261
  4. Step 4: Simplify right side
    74,609x = 25,683,588,121
  5. Step 5: Solve for x
    x = 25,683,588,121/74,609
  6. Step 6: Final answer
    x = 344,242.49

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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.