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Finding the Third Proportional to 64,308 and 138,480

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Solution

The third proportional to 64,308 and 138,480 is: 298,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,308 : 138,480 = 138,480 : x
  2. Step 2: Convert to fraction form
    64,308/138,480 = 138,480/x
  3. Step 3: Cross multiply
    64,308x = 138,480 × 138,480
  4. Step 4: Simplify right side
    64,308x = 19,176,710,400
  5. Step 5: Solve for x
    x = 19,176,710,400/64,308
  6. Step 6: Final answer
    x = 298,201.01

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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.