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Finding the Third Proportional to 89,028 and 210,159

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Solution

The third proportional to 89,028 and 210,159 is: 496,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,028 : 210,159 = 210,159 : x
  2. Step 2: Convert to fraction form
    89,028/210,159 = 210,159/x
  3. Step 3: Cross multiply
    89,028x = 210,159 × 210,159
  4. Step 4: Simplify right side
    89,028x = 44,166,805,281
  5. Step 5: Solve for x
    x = 44,166,805,281/89,028
  6. Step 6: Final answer
    x = 496,100.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.