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Finding the Third Proportional to 76,152 and 157,600

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Solution

The third proportional to 76,152 and 157,600 is: 326,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,152 : 157,600 = 157,600 : x
  2. Step 2: Convert to fraction form
    76,152/157,600 = 157,600/x
  3. Step 3: Cross multiply
    76,152x = 157,600 × 157,600
  4. Step 4: Simplify right side
    76,152x = 24,837,760,000
  5. Step 5: Solve for x
    x = 24,837,760,000/76,152
  6. Step 6: Final answer
    x = 326,160.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.