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Finding the Third Proportional to 74,262 and 160,236

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Solution

The third proportional to 74,262 and 160,236 is: 345,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,262 : 160,236 = 160,236 : x
  2. Step 2: Convert to fraction form
    74,262/160,236 = 160,236/x
  3. Step 3: Cross multiply
    74,262x = 160,236 × 160,236
  4. Step 4: Simplify right side
    74,262x = 25,675,575,696
  5. Step 5: Solve for x
    x = 25,675,575,696/74,262
  6. Step 6: Final answer
    x = 345,743.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.