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Finding the Third Proportional to 76,358 and 157,954

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Solution

The third proportional to 76,358 and 157,954 is: 326,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,358 : 157,954 = 157,954 : x
  2. Step 2: Convert to fraction form
    76,358/157,954 = 157,954/x
  3. Step 3: Cross multiply
    76,358x = 157,954 × 157,954
  4. Step 4: Simplify right side
    76,358x = 24,949,466,116
  5. Step 5: Solve for x
    x = 24,949,466,116/76,358
  6. Step 6: Final answer
    x = 326,743.32

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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.