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Finding the Third Proportional to 42,297.50 and 90,083

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Solution

The third proportional to 42,297.50 and 90,083 is: 191,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,297.50 : 90,083 = 90,083 : x
  2. Step 2: Convert to fraction form
    42,297.50/90,083 = 90,083/x
  3. Step 3: Cross multiply
    42,297.50x = 90,083 × 90,083
  4. Step 4: Simplify right side
    42,297.50x = 8,114,946,889
  5. Step 5: Solve for x
    x = 8,114,946,889/42,297.50
  6. Step 6: Final answer
    x = 191,854.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.