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Finding the Third Proportional to 56,232 and 121,152

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Solution

The third proportional to 56,232 and 121,152 is: 261,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,232 : 121,152 = 121,152 : x
  2. Step 2: Convert to fraction form
    56,232/121,152 = 121,152/x
  3. Step 3: Cross multiply
    56,232x = 121,152 × 121,152
  4. Step 4: Simplify right side
    56,232x = 14,677,807,104
  5. Step 5: Solve for x
    x = 14,677,807,104/56,232
  6. Step 6: Final answer
    x = 261,022.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.