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Finding the Third Proportional to 61,236 and 132,313.50

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Solution

The third proportional to 61,236 and 132,313.50 is: 285,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,236 : 132,313.50 = 132,313.50 : x
  2. Step 2: Convert to fraction form
    61,236/132,313.50 = 132,313.50/x
  3. Step 3: Cross multiply
    61,236x = 132,313.50 × 132,313.50
  4. Step 4: Simplify right side
    61,236x = 17,506,862,282.25
  5. Step 5: Solve for x
    x = 17,506,862,282.25/61,236
  6. Step 6: Final answer
    x = 285,891.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.