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Finding the Third Proportional to 64,629 and 136,709

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Solution

The third proportional to 64,629 and 136,709 is: 289,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,629 : 136,709 = 136,709 : x
  2. Step 2: Convert to fraction form
    64,629/136,709 = 136,709/x
  3. Step 3: Cross multiply
    64,629x = 136,709 × 136,709
  4. Step 4: Simplify right side
    64,629x = 18,689,350,681
  5. Step 5: Solve for x
    x = 18,689,350,681/64,629
  6. Step 6: Final answer
    x = 289,179.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.