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Finding the Third Proportional to 65,203.50 and 139,019.63

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Solution

The third proportional to 65,203.50 and 139,019.63 is: 296,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.50 : 139,019.63 = 139,019.63 : x
  2. Step 2: Convert to fraction form
    65,203.50/139,019.63 = 139,019.63/x
  3. Step 3: Cross multiply
    65,203.50x = 139,019.63 × 139,019.63
  4. Step 4: Simplify right side
    65,203.50x = 19,326,456,135.14
  5. Step 5: Solve for x
    x = 19,326,456,135.14/65,203.50
  6. Step 6: Final answer
    x = 296,402.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.