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Finding the Third Proportional to 50,556 and 77,943

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Solution

The third proportional to 50,556 and 77,943 is: 120,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,556 : 77,943 = 77,943 : x
  2. Step 2: Convert to fraction form
    50,556/77,943 = 77,943/x
  3. Step 3: Cross multiply
    50,556x = 77,943 × 77,943
  4. Step 4: Simplify right side
    50,556x = 6,075,111,249
  5. Step 5: Solve for x
    x = 6,075,111,249/50,556
  6. Step 6: Final answer
    x = 120,165.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.