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Finding the Third Proportional to 98,106 and 150,984

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Solution

The third proportional to 98,106 and 150,984 is: 232,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,106 : 150,984 = 150,984 : x
  2. Step 2: Convert to fraction form
    98,106/150,984 = 150,984/x
  3. Step 3: Cross multiply
    98,106x = 150,984 × 150,984
  4. Step 4: Simplify right side
    98,106x = 22,796,168,256
  5. Step 5: Solve for x
    x = 22,796,168,256/98,106
  6. Step 6: Final answer
    x = 232,362.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.