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Finding the Third Proportional to 47,581 and 103,363

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Solution

The third proportional to 47,581 and 103,363 is: 224,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,581 : 103,363 = 103,363 : x
  2. Step 2: Convert to fraction form
    47,581/103,363 = 103,363/x
  3. Step 3: Cross multiply
    47,581x = 103,363 × 103,363
  4. Step 4: Simplify right side
    47,581x = 10,683,909,769
  5. Step 5: Solve for x
    x = 10,683,909,769/47,581
  6. Step 6: Final answer
    x = 224,541.51

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Why These Related Problems?

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