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Finding the Third Proportional to 77,984.75 and 159,658

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Solution

The third proportional to 77,984.75 and 159,658 is: 326,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,984.75 : 159,658 = 159,658 : x
  2. Step 2: Convert to fraction form
    77,984.75/159,658 = 159,658/x
  3. Step 3: Cross multiply
    77,984.75x = 159,658 × 159,658
  4. Step 4: Simplify right side
    77,984.75x = 25,490,676,964
  5. Step 5: Solve for x
    x = 25,490,676,964/77,984.75
  6. Step 6: Final answer
    x = 326,867.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.