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Finding the Third Proportional to 64,044 and 137,340

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Solution

The third proportional to 64,044 and 137,340 is: 294,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,044 : 137,340 = 137,340 : x
  2. Step 2: Convert to fraction form
    64,044/137,340 = 137,340/x
  3. Step 3: Cross multiply
    64,044x = 137,340 × 137,340
  4. Step 4: Simplify right side
    64,044x = 18,862,275,600
  5. Step 5: Solve for x
    x = 18,862,275,600/64,044
  6. Step 6: Final answer
    x = 294,520.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.