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Finding the Third Proportional to 40,463 and 88,702

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Solution

The third proportional to 40,463 and 88,702 is: 194,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,463 : 88,702 = 88,702 : x
  2. Step 2: Convert to fraction form
    40,463/88,702 = 88,702/x
  3. Step 3: Cross multiply
    40,463x = 88,702 × 88,702
  4. Step 4: Simplify right side
    40,463x = 7,868,044,804
  5. Step 5: Solve for x
    x = 7,868,044,804/40,463
  6. Step 6: Final answer
    x = 194,450.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.