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Finding the Third Proportional to 65,448 and 142,482

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Solution

The third proportional to 65,448 and 142,482 is: 310,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,448 : 142,482 = 142,482 : x
  2. Step 2: Convert to fraction form
    65,448/142,482 = 142,482/x
  3. Step 3: Cross multiply
    65,448x = 142,482 × 142,482
  4. Step 4: Simplify right side
    65,448x = 20,301,120,324
  5. Step 5: Solve for x
    x = 20,301,120,324/65,448
  6. Step 6: Final answer
    x = 310,187.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.