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Finding the Third Proportional to 64,764 and 139,284

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Solution

The third proportional to 64,764 and 139,284 is: 299,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764 : 139,284 = 139,284 : x
  2. Step 2: Convert to fraction form
    64,764/139,284 = 139,284/x
  3. Step 3: Cross multiply
    64,764x = 139,284 × 139,284
  4. Step 4: Simplify right side
    64,764x = 19,400,032,656
  5. Step 5: Solve for x
    x = 19,400,032,656/64,764
  6. Step 6: Final answer
    x = 299,549.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.