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Finding the Third Proportional to 106,642 and 233,372

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Solution

The third proportional to 106,642 and 233,372 is: 510,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,642 : 233,372 = 233,372 : x
  2. Step 2: Convert to fraction form
    106,642/233,372 = 233,372/x
  3. Step 3: Cross multiply
    106,642x = 233,372 × 233,372
  4. Step 4: Simplify right side
    106,642x = 54,462,490,384
  5. Step 5: Solve for x
    x = 54,462,490,384/106,642
  6. Step 6: Final answer
    x = 510,703.95

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