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Finding the Third Proportional to 58,713 and 90,949.50

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Solution

The third proportional to 58,713 and 90,949.50 is: 140,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,713 : 90,949.50 = 90,949.50 : x
  2. Step 2: Convert to fraction form
    58,713/90,949.50 = 90,949.50/x
  3. Step 3: Cross multiply
    58,713x = 90,949.50 × 90,949.50
  4. Step 4: Simplify right side
    58,713x = 8,271,811,550.25
  5. Step 5: Solve for x
    x = 8,271,811,550.25/58,713
  6. Step 6: Final answer
    x = 140,885.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.