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Finding the Third Proportional to 59,264 and 128,032

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Solution

The third proportional to 59,264 and 128,032 is: 276,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,264 : 128,032 = 128,032 : x
  2. Step 2: Convert to fraction form
    59,264/128,032 = 128,032/x
  3. Step 3: Cross multiply
    59,264x = 128,032 × 128,032
  4. Step 4: Simplify right side
    59,264x = 16,392,193,024
  5. Step 5: Solve for x
    x = 16,392,193,024/59,264
  6. Step 6: Final answer
    x = 276,596.13

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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.