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Finding the Third Proportional to 62,119 and 82,762.50

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Solution

The third proportional to 62,119 and 82,762.50 is: 110,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,119 : 82,762.50 = 82,762.50 : x
  2. Step 2: Convert to fraction form
    62,119/82,762.50 = 82,762.50/x
  3. Step 3: Cross multiply
    62,119x = 82,762.50 × 82,762.50
  4. Step 4: Simplify right side
    62,119x = 6,849,631,406.25
  5. Step 5: Solve for x
    x = 6,849,631,406.25/62,119
  6. Step 6: Final answer
    x = 110,266.29

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.