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Finding the Third Proportional to 66,486 and 145,484

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Solution

The third proportional to 66,486 and 145,484 is: 318,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,486 : 145,484 = 145,484 : x
  2. Step 2: Convert to fraction form
    66,486/145,484 = 145,484/x
  3. Step 3: Cross multiply
    66,486x = 145,484 × 145,484
  4. Step 4: Simplify right side
    66,486x = 21,165,594,256
  5. Step 5: Solve for x
    x = 21,165,594,256/66,486
  6. Step 6: Final answer
    x = 318,346.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.