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Finding the Third Proportional to 64,536.49 and 139,798.85

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Solution

The third proportional to 64,536.49 and 139,798.85 is: 302,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,536.49 : 139,798.85 = 139,798.85 : x
  2. Step 2: Convert to fraction form
    64,536.49/139,798.85 = 139,798.85/x
  3. Step 3: Cross multiply
    64,536.49x = 139,798.85 × 139,798.85
  4. Step 4: Simplify right side
    64,536.49x = 19,543,718,898.19
  5. Step 5: Solve for x
    x = 19,543,718,898.19/64,536.49
  6. Step 6: Final answer
    x = 302,832.06

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Why These Related Problems?

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