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Finding the Third Proportional to 64,537.80 and 139,801.46

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Solution

The third proportional to 64,537.80 and 139,801.46 is: 302,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,537.80 : 139,801.46 = 139,801.46 : x
  2. Step 2: Convert to fraction form
    64,537.80/139,801.46 = 139,801.46/x
  3. Step 3: Cross multiply
    64,537.80x = 139,801.46 × 139,801.46
  4. Step 4: Simplify right side
    64,537.80x = 19,544,449,572.46
  5. Step 5: Solve for x
    x = 19,544,449,572.46/64,537.80
  6. Step 6: Final answer
    x = 302,837.22

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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.