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Finding the Third Proportional to 47,090 and 100,633

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Solution

The third proportional to 47,090 and 100,633 is: 215,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,090 : 100,633 = 100,633 : x
  2. Step 2: Convert to fraction form
    47,090/100,633 = 100,633/x
  3. Step 3: Cross multiply
    47,090x = 100,633 × 100,633
  4. Step 4: Simplify right side
    47,090x = 10,127,000,689
  5. Step 5: Solve for x
    x = 10,127,000,689/47,090
  6. Step 6: Final answer
    x = 215,056.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.