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Finding the Third Proportional to 98,620 and 157,093

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Solution

The third proportional to 98,620 and 157,093 is: 250,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,620 : 157,093 = 157,093 : x
  2. Step 2: Convert to fraction form
    98,620/157,093 = 157,093/x
  3. Step 3: Cross multiply
    98,620x = 157,093 × 157,093
  4. Step 4: Simplify right side
    98,620x = 24,678,210,649
  5. Step 5: Solve for x
    x = 24,678,210,649/98,620
  6. Step 6: Final answer
    x = 250,235.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.