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Finding the Third Proportional to 64,305 and 137,106

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Solution

The third proportional to 64,305 and 137,106 is: 292,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,305 : 137,106 = 137,106 : x
  2. Step 2: Convert to fraction form
    64,305/137,106 = 137,106/x
  3. Step 3: Cross multiply
    64,305x = 137,106 × 137,106
  4. Step 4: Simplify right side
    64,305x = 18,798,055,236
  5. Step 5: Solve for x
    x = 18,798,055,236/64,305
  6. Step 6: Final answer
    x = 292,326.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.