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Finding the Third Proportional to 76,985 and 160,090

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Solution

The third proportional to 76,985 and 160,090 is: 332,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,985 : 160,090 = 160,090 : x
  2. Step 2: Convert to fraction form
    76,985/160,090 = 160,090/x
  3. Step 3: Cross multiply
    76,985x = 160,090 × 160,090
  4. Step 4: Simplify right side
    76,985x = 25,628,808,100
  5. Step 5: Solve for x
    x = 25,628,808,100/76,985
  6. Step 6: Final answer
    x = 332,906.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.