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Finding the Third Proportional to 64,691 and 137,071

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Solution

The third proportional to 64,691 and 137,071 is: 290,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,691 : 137,071 = 137,071 : x
  2. Step 2: Convert to fraction form
    64,691/137,071 = 137,071/x
  3. Step 3: Cross multiply
    64,691x = 137,071 × 137,071
  4. Step 4: Simplify right side
    64,691x = 18,788,459,041
  5. Step 5: Solve for x
    x = 18,788,459,041/64,691
  6. Step 6: Final answer
    x = 290,433.89

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Why These Related Problems?

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