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Finding the Third Proportional to 72,976 and 157,352

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Solution

The third proportional to 72,976 and 157,352 is: 339,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,976 : 157,352 = 157,352 : x
  2. Step 2: Convert to fraction form
    72,976/157,352 = 157,352/x
  3. Step 3: Cross multiply
    72,976x = 157,352 × 157,352
  4. Step 4: Simplify right side
    72,976x = 24,759,651,904
  5. Step 5: Solve for x
    x = 24,759,651,904/72,976
  6. Step 6: Final answer
    x = 339,284.86

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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.