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Finding the Third Proportional to 90,657 and 162,175.50

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Solution

The third proportional to 90,657 and 162,175.50 is: 290,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,657 : 162,175.50 = 162,175.50 : x
  2. Step 2: Convert to fraction form
    90,657/162,175.50 = 162,175.50/x
  3. Step 3: Cross multiply
    90,657x = 162,175.50 × 162,175.50
  4. Step 4: Simplify right side
    90,657x = 26,300,892,800.25
  5. Step 5: Solve for x
    x = 26,300,892,800.25/90,657
  6. Step 6: Final answer
    x = 290,114.31

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.