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Finding the Third Proportional to 71,445.59 and 105,194.53

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Solution

The third proportional to 71,445.59 and 105,194.53 is: 154,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,445.59 : 105,194.53 = 105,194.53 : x
  2. Step 2: Convert to fraction form
    71,445.59/105,194.53 = 105,194.53/x
  3. Step 3: Cross multiply
    71,445.59x = 105,194.53 × 105,194.53
  4. Step 4: Simplify right side
    71,445.59x = 11,065,889,404.91
  5. Step 5: Solve for x
    x = 11,065,889,404.91/71,445.59
  6. Step 6: Final answer
    x = 154,885.56

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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.