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Finding the Third Proportional to 77,397 and 118,313.25

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Solution

The third proportional to 77,397 and 118,313.25 is: 180,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,397 : 118,313.25 = 118,313.25 : x
  2. Step 2: Convert to fraction form
    77,397/118,313.25 = 118,313.25/x
  3. Step 3: Cross multiply
    77,397x = 118,313.25 × 118,313.25
  4. Step 4: Simplify right side
    77,397x = 13,998,025,125.56
  5. Step 5: Solve for x
    x = 13,998,025,125.56/77,397
  6. Step 6: Final answer
    x = 180,860.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.