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Finding the Third Proportional to 89,524 and 121,152

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Solution

The third proportional to 89,524 and 121,152 is: 163,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,524 : 121,152 = 121,152 : x
  2. Step 2: Convert to fraction form
    89,524/121,152 = 121,152/x
  3. Step 3: Cross multiply
    89,524x = 121,152 × 121,152
  4. Step 4: Simplify right side
    89,524x = 14,677,807,104
  5. Step 5: Solve for x
    x = 14,677,807,104/89,524
  6. Step 6: Final answer
    x = 163,953.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.