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Finding the Third Proportional to 60,024 and 130,224

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Solution

The third proportional to 60,024 and 130,224 is: 282,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,024 : 130,224 = 130,224 : x
  2. Step 2: Convert to fraction form
    60,024/130,224 = 130,224/x
  3. Step 3: Cross multiply
    60,024x = 130,224 × 130,224
  4. Step 4: Simplify right side
    60,024x = 16,958,290,176
  5. Step 5: Solve for x
    x = 16,958,290,176/60,024
  6. Step 6: Final answer
    x = 282,525.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.