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Finding the Third Proportional to 88,010 and 207,695

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Solution

The third proportional to 88,010 and 207,695 is: 490,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,010 : 207,695 = 207,695 : x
  2. Step 2: Convert to fraction form
    88,010/207,695 = 207,695/x
  3. Step 3: Cross multiply
    88,010x = 207,695 × 207,695
  4. Step 4: Simplify right side
    88,010x = 43,137,213,025
  5. Step 5: Solve for x
    x = 43,137,213,025/88,010
  6. Step 6: Final answer
    x = 490,139.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.