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Finding the Third Proportional to 59,232 and 127,948

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Solution

The third proportional to 59,232 and 127,948 is: 276,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,232 : 127,948 = 127,948 : x
  2. Step 2: Convert to fraction form
    59,232/127,948 = 127,948/x
  3. Step 3: Cross multiply
    59,232x = 127,948 × 127,948
  4. Step 4: Simplify right side
    59,232x = 16,370,690,704
  5. Step 5: Solve for x
    x = 16,370,690,704/59,232
  6. Step 6: Final answer
    x = 276,382.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.