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Finding the Third Proportional to 58,842 and 128,052

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Solution

The third proportional to 58,842 and 128,052 is: 278,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842 : 128,052 = 128,052 : x
  2. Step 2: Convert to fraction form
    58,842/128,052 = 128,052/x
  3. Step 3: Cross multiply
    58,842x = 128,052 × 128,052
  4. Step 4: Simplify right side
    58,842x = 16,397,314,704
  5. Step 5: Solve for x
    x = 16,397,314,704/58,842
  6. Step 6: Final answer
    x = 278,666.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.