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Finding the Third Proportional to 98,777 and 153,180

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Solution

The third proportional to 98,777 and 153,180 is: 237,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,777 : 153,180 = 153,180 : x
  2. Step 2: Convert to fraction form
    98,777/153,180 = 153,180/x
  3. Step 3: Cross multiply
    98,777x = 153,180 × 153,180
  4. Step 4: Simplify right side
    98,777x = 23,464,112,400
  5. Step 5: Solve for x
    x = 23,464,112,400/98,777
  6. Step 6: Final answer
    x = 237,546.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.