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Finding the Third Proportional to 61,004 and 132,304

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Solution

The third proportional to 61,004 and 132,304 is: 286,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,004 : 132,304 = 132,304 : x
  2. Step 2: Convert to fraction form
    61,004/132,304 = 132,304/x
  3. Step 3: Cross multiply
    61,004x = 132,304 × 132,304
  4. Step 4: Simplify right side
    61,004x = 17,504,348,416
  5. Step 5: Solve for x
    x = 17,504,348,416/61,004
  6. Step 6: Final answer
    x = 286,937.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.