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Finding the Third Proportional to 71,560.50 and 105,153

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Solution

The third proportional to 71,560.50 and 105,153 is: 154,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,560.50 : 105,153 = 105,153 : x
  2. Step 2: Convert to fraction form
    71,560.50/105,153 = 105,153/x
  3. Step 3: Cross multiply
    71,560.50x = 105,153 × 105,153
  4. Step 4: Simplify right side
    71,560.50x = 11,057,153,409
  5. Step 5: Solve for x
    x = 11,057,153,409/71,560.50
  6. Step 6: Final answer
    x = 154,514.76

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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.