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Finding the Third Proportional to 67,534 and 145,532

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Solution

The third proportional to 67,534 and 145,532 is: 313,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,534 : 145,532 = 145,532 : x
  2. Step 2: Convert to fraction form
    67,534/145,532 = 145,532/x
  3. Step 3: Cross multiply
    67,534x = 145,532 × 145,532
  4. Step 4: Simplify right side
    67,534x = 21,179,563,024
  5. Step 5: Solve for x
    x = 21,179,563,024/67,534
  6. Step 6: Final answer
    x = 313,613.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.