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Finding the Third Proportional to 85,997.50 and 130,294

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Solution

The third proportional to 85,997.50 and 130,294 is: 197,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,997.50 : 130,294 = 130,294 : x
  2. Step 2: Convert to fraction form
    85,997.50/130,294 = 130,294/x
  3. Step 3: Cross multiply
    85,997.50x = 130,294 × 130,294
  4. Step 4: Simplify right side
    85,997.50x = 16,976,526,436
  5. Step 5: Solve for x
    x = 16,976,526,436/85,997.50
  6. Step 6: Final answer
    x = 197,407.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.