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Finding the Third Proportional to 74,010 and 160,500

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Solution

The third proportional to 74,010 and 160,500 is: 348,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,010 : 160,500 = 160,500 : x
  2. Step 2: Convert to fraction form
    74,010/160,500 = 160,500/x
  3. Step 3: Cross multiply
    74,010x = 160,500 × 160,500
  4. Step 4: Simplify right side
    74,010x = 25,760,250,000
  5. Step 5: Solve for x
    x = 25,760,250,000/74,010
  6. Step 6: Final answer
    x = 348,064.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.