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Finding the Third Proportional to 96,779 and 152,080

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Solution

The third proportional to 96,779 and 152,080 is: 238,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,779 : 152,080 = 152,080 : x
  2. Step 2: Convert to fraction form
    96,779/152,080 = 152,080/x
  3. Step 3: Cross multiply
    96,779x = 152,080 × 152,080
  4. Step 4: Simplify right side
    96,779x = 23,128,326,400
  5. Step 5: Solve for x
    x = 23,128,326,400/96,779
  6. Step 6: Final answer
    x = 238,980.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.