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Finding the Third Proportional to 58,659 and 128,577

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Solution

The third proportional to 58,659 and 128,577 is: 281,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,659 : 128,577 = 128,577 : x
  2. Step 2: Convert to fraction form
    58,659/128,577 = 128,577/x
  3. Step 3: Cross multiply
    58,659x = 128,577 × 128,577
  4. Step 4: Simplify right side
    58,659x = 16,532,044,929
  5. Step 5: Solve for x
    x = 16,532,044,929/58,659
  6. Step 6: Final answer
    x = 281,833.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.