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Finding the Third Proportional to 64,528.69 and 138,396.38

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Solution

The third proportional to 64,528.69 and 138,396.38 is: 296,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,528.69 : 138,396.38 = 138,396.38 : x
  2. Step 2: Convert to fraction form
    64,528.69/138,396.38 = 138,396.38/x
  3. Step 3: Cross multiply
    64,528.69x = 138,396.38 × 138,396.38
  4. Step 4: Simplify right side
    64,528.69x = 19,153,556,613.14
  5. Step 5: Solve for x
    x = 19,153,556,613.14/64,528.69
  6. Step 6: Final answer
    x = 296,822.35

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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.