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Finding the Third Proportional to 64,600 and 137,030

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Solution

The third proportional to 64,600 and 137,030 is: 290,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,600 : 137,030 = 137,030 : x
  2. Step 2: Convert to fraction form
    64,600/137,030 = 137,030/x
  3. Step 3: Cross multiply
    64,600x = 137,030 × 137,030
  4. Step 4: Simplify right side
    64,600x = 18,777,220,900
  5. Step 5: Solve for x
    x = 18,777,220,900/64,600
  6. Step 6: Final answer
    x = 290,669.05

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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.