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Finding the Third Proportional to 71,572 and 143,137

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Solution

The third proportional to 71,572 and 143,137 is: 286,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,572 : 143,137 = 143,137 : x
  2. Step 2: Convert to fraction form
    71,572/143,137 = 143,137/x
  3. Step 3: Cross multiply
    71,572x = 143,137 × 143,137
  4. Step 4: Simplify right side
    71,572x = 20,488,200,769
  5. Step 5: Solve for x
    x = 20,488,200,769/71,572
  6. Step 6: Final answer
    x = 286,260.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.