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Finding the Third Proportional to 64,042.50 and 139,159

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Solution

The third proportional to 64,042.50 and 139,159 is: 302,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,042.50 : 139,159 = 139,159 : x
  2. Step 2: Convert to fraction form
    64,042.50/139,159 = 139,159/x
  3. Step 3: Cross multiply
    64,042.50x = 139,159 × 139,159
  4. Step 4: Simplify right side
    64,042.50x = 19,365,227,281
  5. Step 5: Solve for x
    x = 19,365,227,281/64,042.50
  6. Step 6: Final answer
    x = 302,380.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.