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Finding the Third Proportional to 66,513 and 145,960

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Solution

The third proportional to 66,513 and 145,960 is: 320,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,513 : 145,960 = 145,960 : x
  2. Step 2: Convert to fraction form
    66,513/145,960 = 145,960/x
  3. Step 3: Cross multiply
    66,513x = 145,960 × 145,960
  4. Step 4: Simplify right side
    66,513x = 21,304,321,600
  5. Step 5: Solve for x
    x = 21,304,321,600/66,513
  6. Step 6: Final answer
    x = 320,303.12

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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.