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Finding the Third Proportional to 59,999.63 and 138,903.75

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Solution

The third proportional to 59,999.63 and 138,903.75 is: 321,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,999.63 : 138,903.75 = 138,903.75 : x
  2. Step 2: Convert to fraction form
    59,999.63/138,903.75 = 138,903.75/x
  3. Step 3: Cross multiply
    59,999.63x = 138,903.75 × 138,903.75
  4. Step 4: Simplify right side
    59,999.63x = 19,294,251,764.06
  5. Step 5: Solve for x
    x = 19,294,251,764.06/59,999.63
  6. Step 6: Final answer
    x = 321,572.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.