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Finding the Third Proportional to 71,455.50 and 105,045

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Solution

The third proportional to 71,455.50 and 105,045 is: 154,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,455.50 : 105,045 = 105,045 : x
  2. Step 2: Convert to fraction form
    71,455.50/105,045 = 105,045/x
  3. Step 3: Cross multiply
    71,455.50x = 105,045 × 105,045
  4. Step 4: Simplify right side
    71,455.50x = 11,034,452,025
  5. Step 5: Solve for x
    x = 11,034,452,025/71,455.50
  6. Step 6: Final answer
    x = 154,424.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.