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Finding the Third Proportional to 64,824 and 137,364

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Solution

The third proportional to 64,824 and 137,364 is: 291,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,824 : 137,364 = 137,364 : x
  2. Step 2: Convert to fraction form
    64,824/137,364 = 137,364/x
  3. Step 3: Cross multiply
    64,824x = 137,364 × 137,364
  4. Step 4: Simplify right side
    64,824x = 18,868,868,496
  5. Step 5: Solve for x
    x = 18,868,868,496/64,824
  6. Step 6: Final answer
    x = 291,078.44

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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.