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Finding the Third Proportional to 43,129 and 64,428

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Solution

The third proportional to 43,129 and 64,428 is: 96,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,129 : 64,428 = 64,428 : x
  2. Step 2: Convert to fraction form
    43,129/64,428 = 64,428/x
  3. Step 3: Cross multiply
    43,129x = 64,428 × 64,428
  4. Step 4: Simplify right side
    43,129x = 4,150,967,184
  5. Step 5: Solve for x
    x = 4,150,967,184/43,129
  6. Step 6: Final answer
    x = 96,245.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.