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Finding the Third Proportional to 58,844 and 129,565

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Solution

The third proportional to 58,844 and 129,565 is: 285,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,844 : 129,565 = 129,565 : x
  2. Step 2: Convert to fraction form
    58,844/129,565 = 129,565/x
  3. Step 3: Cross multiply
    58,844x = 129,565 × 129,565
  4. Step 4: Simplify right side
    58,844x = 16,787,089,225
  5. Step 5: Solve for x
    x = 16,787,089,225/58,844
  6. Step 6: Final answer
    x = 285,281.24

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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.