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Finding the Third Proportional to 61,696 and 134,560

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Solution

The third proportional to 61,696 and 134,560 is: 293,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,696 : 134,560 = 134,560 : x
  2. Step 2: Convert to fraction form
    61,696/134,560 = 134,560/x
  3. Step 3: Cross multiply
    61,696x = 134,560 × 134,560
  4. Step 4: Simplify right side
    61,696x = 18,106,393,600
  5. Step 5: Solve for x
    x = 18,106,393,600/61,696
  6. Step 6: Final answer
    x = 293,477.59

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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.