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Finding the Third Proportional to 134,069 and 208,461

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Solution

The third proportional to 134,069 and 208,461 is: 324,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,069 : 208,461 = 208,461 : x
  2. Step 2: Convert to fraction form
    134,069/208,461 = 208,461/x
  3. Step 3: Cross multiply
    134,069x = 208,461 × 208,461
  4. Step 4: Simplify right side
    134,069x = 43,455,988,521
  5. Step 5: Solve for x
    x = 43,455,988,521/134,069
  6. Step 6: Final answer
    x = 324,131.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.