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Finding the Third Proportional to 58,936 and 128,132

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Solution

The third proportional to 58,936 and 128,132 is: 278,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,936 : 128,132 = 128,132 : x
  2. Step 2: Convert to fraction form
    58,936/128,132 = 128,132/x
  3. Step 3: Cross multiply
    58,936x = 128,132 × 128,132
  4. Step 4: Simplify right side
    58,936x = 16,417,809,424
  5. Step 5: Solve for x
    x = 16,417,809,424/58,936
  6. Step 6: Final answer
    x = 278,570.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.