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Finding the Third Proportional to 59,299.50 and 130,263

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Solution

The third proportional to 59,299.50 and 130,263 is: 286,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,299.50 : 130,263 = 130,263 : x
  2. Step 2: Convert to fraction form
    59,299.50/130,263 = 130,263/x
  3. Step 3: Cross multiply
    59,299.50x = 130,263 × 130,263
  4. Step 4: Simplify right side
    59,299.50x = 16,968,449,169
  5. Step 5: Solve for x
    x = 16,968,449,169/59,299.50
  6. Step 6: Final answer
    x = 286,148.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.