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Finding the Third Proportional to 49,197 and 77,779

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Solution

The third proportional to 49,197 and 77,779 is: 122,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,197 : 77,779 = 77,779 : x
  2. Step 2: Convert to fraction form
    49,197/77,779 = 77,779/x
  3. Step 3: Cross multiply
    49,197x = 77,779 × 77,779
  4. Step 4: Simplify right side
    49,197x = 6,049,572,841
  5. Step 5: Solve for x
    x = 6,049,572,841/49,197
  6. Step 6: Final answer
    x = 122,966.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.