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Finding the Third Proportional to 71,490 and 141,185.50

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Solution

The third proportional to 71,490 and 141,185.50 is: 278,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,490 : 141,185.50 = 141,185.50 : x
  2. Step 2: Convert to fraction form
    71,490/141,185.50 = 141,185.50/x
  3. Step 3: Cross multiply
    71,490x = 141,185.50 × 141,185.50
  4. Step 4: Simplify right side
    71,490x = 19,933,345,410.25
  5. Step 5: Solve for x
    x = 19,933,345,410.25/71,490
  6. Step 6: Final answer
    x = 278,827.04

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.