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Finding the Third Proportional to 35,139 and 76,285.50

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Solution

The third proportional to 35,139 and 76,285.50 is: 165,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,139 : 76,285.50 = 76,285.50 : x
  2. Step 2: Convert to fraction form
    35,139/76,285.50 = 76,285.50/x
  3. Step 3: Cross multiply
    35,139x = 76,285.50 × 76,285.50
  4. Step 4: Simplify right side
    35,139x = 5,819,477,510.25
  5. Step 5: Solve for x
    x = 5,819,477,510.25/35,139
  6. Step 6: Final answer
    x = 165,613.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.