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Finding the Third Proportional to 52,148 and 113,812.50

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Solution

The third proportional to 52,148 and 113,812.50 is: 248,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,148 : 113,812.50 = 113,812.50 : x
  2. Step 2: Convert to fraction form
    52,148/113,812.50 = 113,812.50/x
  3. Step 3: Cross multiply
    52,148x = 113,812.50 × 113,812.50
  4. Step 4: Simplify right side
    52,148x = 12,953,285,156.25
  5. Step 5: Solve for x
    x = 12,953,285,156.25/52,148
  6. Step 6: Final answer
    x = 248,394.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.