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Finding the Third Proportional to 59,470.88 and 128,145.38

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Solution

The third proportional to 59,470.88 and 128,145.38 is: 276,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,470.88 : 128,145.38 = 128,145.38 : x
  2. Step 2: Convert to fraction form
    59,470.88/128,145.38 = 128,145.38/x
  3. Step 3: Cross multiply
    59,470.88x = 128,145.38 × 128,145.38
  4. Step 4: Simplify right side
    59,470.88x = 16,421,237,133.89
  5. Step 5: Solve for x
    x = 16,421,237,133.89/59,470.88
  6. Step 6: Final answer
    x = 276,122.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.