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Finding the Third Proportional to 58,419 and 90,211.50

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Solution

The third proportional to 58,419 and 90,211.50 is: 139,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,419 : 90,211.50 = 90,211.50 : x
  2. Step 2: Convert to fraction form
    58,419/90,211.50 = 90,211.50/x
  3. Step 3: Cross multiply
    58,419x = 90,211.50 × 90,211.50
  4. Step 4: Simplify right side
    58,419x = 8,138,114,732.25
  5. Step 5: Solve for x
    x = 8,138,114,732.25/58,419
  6. Step 6: Final answer
    x = 139,305.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.