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Finding the Third Proportional to 66,748 and 145,812

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Solution

The third proportional to 66,748 and 145,812 is: 318,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,748 : 145,812 = 145,812 : x
  2. Step 2: Convert to fraction form
    66,748/145,812 = 145,812/x
  3. Step 3: Cross multiply
    66,748x = 145,812 × 145,812
  4. Step 4: Simplify right side
    66,748x = 21,261,139,344
  5. Step 5: Solve for x
    x = 21,261,139,344/66,748
  6. Step 6: Final answer
    x = 318,528.49

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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.