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Finding the Third Proportional to 61,946 and 132,636

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Solution

The third proportional to 61,946 and 132,636 is: 283,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,946 : 132,636 = 132,636 : x
  2. Step 2: Convert to fraction form
    61,946/132,636 = 132,636/x
  3. Step 3: Cross multiply
    61,946x = 132,636 × 132,636
  4. Step 4: Simplify right side
    61,946x = 17,592,308,496
  5. Step 5: Solve for x
    x = 17,592,308,496/61,946
  6. Step 6: Final answer
    x = 283,994.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.