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Finding the Third Proportional to 81,050 and 130,224

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Solution

The third proportional to 81,050 and 130,224 is: 209,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,050 : 130,224 = 130,224 : x
  2. Step 2: Convert to fraction form
    81,050/130,224 = 130,224/x
  3. Step 3: Cross multiply
    81,050x = 130,224 × 130,224
  4. Step 4: Simplify right side
    81,050x = 16,958,290,176
  5. Step 5: Solve for x
    x = 16,958,290,176/81,050
  6. Step 6: Final answer
    x = 209,232.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.