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Finding the Third Proportional to 76,459 and 105,652.50

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Solution

The third proportional to 76,459 and 105,652.50 is: 145,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,459 : 105,652.50 = 105,652.50 : x
  2. Step 2: Convert to fraction form
    76,459/105,652.50 = 105,652.50/x
  3. Step 3: Cross multiply
    76,459x = 105,652.50 × 105,652.50
  4. Step 4: Simplify right side
    76,459x = 11,162,450,756.25
  5. Step 5: Solve for x
    x = 11,162,450,756.25/76,459
  6. Step 6: Final answer
    x = 145,992.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.