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Finding the Third Proportional to 98,415 and 143,795.25

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Solution

The third proportional to 98,415 and 143,795.25 is: 210,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415 : 143,795.25 = 143,795.25 : x
  2. Step 2: Convert to fraction form
    98,415/143,795.25 = 143,795.25/x
  3. Step 3: Cross multiply
    98,415x = 143,795.25 × 143,795.25
  4. Step 4: Simplify right side
    98,415x = 20,677,073,922.56
  5. Step 5: Solve for x
    x = 20,677,073,922.56/98,415
  6. Step 6: Final answer
    x = 210,100.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.