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Finding the Third Proportional to 64,258.31 and 100,488.09

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Solution

The third proportional to 64,258.31 and 100,488.09 is: 157,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,258.31 : 100,488.09 = 100,488.09 : x
  2. Step 2: Convert to fraction form
    64,258.31/100,488.09 = 100,488.09/x
  3. Step 3: Cross multiply
    64,258.31x = 100,488.09 × 100,488.09
  4. Step 4: Simplify right side
    64,258.31x = 10,097,856,985.51
  5. Step 5: Solve for x
    x = 10,097,856,985.51/64,258.31
  6. Step 6: Final answer
    x = 157,144.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.