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Finding the Third Proportional to 98,852 and 153,179

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Solution

The third proportional to 98,852 and 153,179 is: 237,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,852 : 153,179 = 153,179 : x
  2. Step 2: Convert to fraction form
    98,852/153,179 = 153,179/x
  3. Step 3: Cross multiply
    98,852x = 153,179 × 153,179
  4. Step 4: Simplify right side
    98,852x = 23,463,806,041
  5. Step 5: Solve for x
    x = 23,463,806,041/98,852
  6. Step 6: Final answer
    x = 237,362.99

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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.