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Finding the Third Proportional to 76,988 and 160,024

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Solution

The third proportional to 76,988 and 160,024 is: 332,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,988 : 160,024 = 160,024 : x
  2. Step 2: Convert to fraction form
    76,988/160,024 = 160,024/x
  3. Step 3: Cross multiply
    76,988x = 160,024 × 160,024
  4. Step 4: Simplify right side
    76,988x = 25,607,680,576
  5. Step 5: Solve for x
    x = 25,607,680,576/76,988
  6. Step 6: Final answer
    x = 332,619.12

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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.