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Finding the Third Proportional to 47,148 and 102,594

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Solution

The third proportional to 47,148 and 102,594 is: 223,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148 : 102,594 = 102,594 : x
  2. Step 2: Convert to fraction form
    47,148/102,594 = 102,594/x
  3. Step 3: Cross multiply
    47,148x = 102,594 × 102,594
  4. Step 4: Simplify right side
    47,148x = 10,525,528,836
  5. Step 5: Solve for x
    x = 10,525,528,836/47,148
  6. Step 6: Final answer
    x = 223,244.44

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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.