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Finding the Third Proportional to 58,014 and 122,890.50

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Solution

The third proportional to 58,014 and 122,890.50 is: 260,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,014 : 122,890.50 = 122,890.50 : x
  2. Step 2: Convert to fraction form
    58,014/122,890.50 = 122,890.50/x
  3. Step 3: Cross multiply
    58,014x = 122,890.50 × 122,890.50
  4. Step 4: Simplify right side
    58,014x = 15,102,074,990.25
  5. Step 5: Solve for x
    x = 15,102,074,990.25/58,014
  6. Step 6: Final answer
    x = 260,317.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.