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Finding the Third Proportional to 47,688 and 104,709

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Solution

The third proportional to 47,688 and 104,709 is: 229,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,688 : 104,709 = 104,709 : x
  2. Step 2: Convert to fraction form
    47,688/104,709 = 104,709/x
  3. Step 3: Cross multiply
    47,688x = 104,709 × 104,709
  4. Step 4: Simplify right side
    47,688x = 10,963,974,681
  5. Step 5: Solve for x
    x = 10,963,974,681/47,688
  6. Step 6: Final answer
    x = 229,910.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.