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Finding the Third Proportional to 50,897.50 and 109,319

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Solution

The third proportional to 50,897.50 and 109,319 is: 234,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,897.50 : 109,319 = 109,319 : x
  2. Step 2: Convert to fraction form
    50,897.50/109,319 = 109,319/x
  3. Step 3: Cross multiply
    50,897.50x = 109,319 × 109,319
  4. Step 4: Simplify right side
    50,897.50x = 11,950,643,761
  5. Step 5: Solve for x
    x = 11,950,643,761/50,897.50
  6. Step 6: Final answer
    x = 234,798.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.