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Finding the Third Proportional to 58,558.50 and 130,216.50

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Solution

The third proportional to 58,558.50 and 130,216.50 is: 289,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,558.50 : 130,216.50 = 130,216.50 : x
  2. Step 2: Convert to fraction form
    58,558.50/130,216.50 = 130,216.50/x
  3. Step 3: Cross multiply
    58,558.50x = 130,216.50 × 130,216.50
  4. Step 4: Simplify right side
    58,558.50x = 16,956,336,872.25
  5. Step 5: Solve for x
    x = 16,956,336,872.25/58,558.50
  6. Step 6: Final answer
    x = 289,562.35

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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.