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Finding the Third Proportional to 58,464 and 128,842

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Solution

The third proportional to 58,464 and 128,842 is: 283,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,464 : 128,842 = 128,842 : x
  2. Step 2: Convert to fraction form
    58,464/128,842 = 128,842/x
  3. Step 3: Cross multiply
    58,464x = 128,842 × 128,842
  4. Step 4: Simplify right side
    58,464x = 16,600,260,964
  5. Step 5: Solve for x
    x = 16,600,260,964/58,464
  6. Step 6: Final answer
    x = 283,939.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.