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Finding the Third Proportional to 59,602.50 and 130,278.38

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Solution

The third proportional to 59,602.50 and 130,278.38 is: 284,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,602.50 : 130,278.38 = 130,278.38 : x
  2. Step 2: Convert to fraction form
    59,602.50/130,278.38 = 130,278.38/x
  3. Step 3: Cross multiply
    59,602.50x = 130,278.38 × 130,278.38
  4. Step 4: Simplify right side
    59,602.50x = 16,972,454,992.64
  5. Step 5: Solve for x
    x = 16,972,454,992.64/59,602.50
  6. Step 6: Final answer
    x = 284,760.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.