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Finding the Third Proportional to 59,472.14 and 128,228.06

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Solution

The third proportional to 59,472.14 and 128,228.06 is: 276,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,472.14 : 128,228.06 = 128,228.06 : x
  2. Step 2: Convert to fraction form
    59,472.14/128,228.06 = 128,228.06/x
  3. Step 3: Cross multiply
    59,472.14x = 128,228.06 × 128,228.06
  4. Step 4: Simplify right side
    59,472.14x = 16,442,436,012.50
  5. Step 5: Solve for x
    x = 16,442,436,012.50/59,472.14
  6. Step 6: Final answer
    x = 276,472.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.