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Finding the Third Proportional to 90,818 and 157,280

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Solution

The third proportional to 90,818 and 157,280 is: 272,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,818 : 157,280 = 157,280 : x
  2. Step 2: Convert to fraction form
    90,818/157,280 = 157,280/x
  3. Step 3: Cross multiply
    90,818x = 157,280 × 157,280
  4. Step 4: Simplify right side
    90,818x = 24,736,998,400
  5. Step 5: Solve for x
    x = 24,736,998,400/90,818
  6. Step 6: Final answer
    x = 272,379.91

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.