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Finding the Third Proportional to 64,136.81 and 148,460.34

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Solution

The third proportional to 64,136.81 and 148,460.34 is: 343,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,136.81 : 148,460.34 = 148,460.34 : x
  2. Step 2: Convert to fraction form
    64,136.81/148,460.34 = 148,460.34/x
  3. Step 3: Cross multiply
    64,136.81x = 148,460.34 × 148,460.34
  4. Step 4: Simplify right side
    64,136.81x = 22,040,473,666.37
  5. Step 5: Solve for x
    x = 22,040,473,666.37/64,136.81
  6. Step 6: Final answer
    x = 343,647.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.