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Finding the Third Proportional to 63,609 and 146,536.50

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Solution

The third proportional to 63,609 and 146,536.50 is: 337,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,609 : 146,536.50 = 146,536.50 : x
  2. Step 2: Convert to fraction form
    63,609/146,536.50 = 146,536.50/x
  3. Step 3: Cross multiply
    63,609x = 146,536.50 × 146,536.50
  4. Step 4: Simplify right side
    63,609x = 21,472,945,832.25
  5. Step 5: Solve for x
    x = 21,472,945,832.25/63,609
  6. Step 6: Final answer
    x = 337,577.16

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.