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Finding the Third Proportional to 64,735.88 and 138,466.69

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Solution

The third proportional to 64,735.88 and 138,466.69 is: 296,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,735.88 : 138,466.69 = 138,466.69 : x
  2. Step 2: Convert to fraction form
    64,735.88/138,466.69 = 138,466.69/x
  3. Step 3: Cross multiply
    64,735.88x = 138,466.69 × 138,466.69
  4. Step 4: Simplify right side
    64,735.88x = 19,173,023,547.22
  5. Step 5: Solve for x
    x = 19,173,023,547.22/64,735.88
  6. Step 6: Final answer
    x = 296,173.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.