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Finding the Third Proportional to 71,556 and 105,145.50

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Solution

The third proportional to 71,556 and 105,145.50 is: 154,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,556 : 105,145.50 = 105,145.50 : x
  2. Step 2: Convert to fraction form
    71,556/105,145.50 = 105,145.50/x
  3. Step 3: Cross multiply
    71,556x = 105,145.50 × 105,145.50
  4. Step 4: Simplify right side
    71,556x = 11,055,576,170.25
  5. Step 5: Solve for x
    x = 11,055,576,170.25/71,556
  6. Step 6: Final answer
    x = 154,502.43

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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.