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Finding the Third Proportional to 59,409.47 and 132,101.63

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Solution

The third proportional to 59,409.47 and 132,101.63 is: 293,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,409.47 : 132,101.63 = 132,101.63 : x
  2. Step 2: Convert to fraction form
    59,409.47/132,101.63 = 132,101.63/x
  3. Step 3: Cross multiply
    59,409.47x = 132,101.63 × 132,101.63
  4. Step 4: Simplify right side
    59,409.47x = 17,450,839,327.64
  5. Step 5: Solve for x
    x = 17,450,839,327.64/59,409.47
  6. Step 6: Final answer
    x = 293,738.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.