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Finding the Third Proportional to 58,779 and 105,888

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Solution

The third proportional to 58,779 and 105,888 is: 190,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,779 : 105,888 = 105,888 : x
  2. Step 2: Convert to fraction form
    58,779/105,888 = 105,888/x
  3. Step 3: Cross multiply
    58,779x = 105,888 × 105,888
  4. Step 4: Simplify right side
    58,779x = 11,212,268,544
  5. Step 5: Solve for x
    x = 11,212,268,544/58,779
  6. Step 6: Final answer
    x = 190,752.97

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.