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Finding the Third Proportional to 64,360 and 141,808

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Solution

The third proportional to 64,360 and 141,808 is: 312,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,360 : 141,808 = 141,808 : x
  2. Step 2: Convert to fraction form
    64,360/141,808 = 141,808/x
  3. Step 3: Cross multiply
    64,360x = 141,808 × 141,808
  4. Step 4: Simplify right side
    64,360x = 20,109,508,864
  5. Step 5: Solve for x
    x = 20,109,508,864/64,360
  6. Step 6: Final answer
    x = 312,453.52

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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.