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Finding the Third Proportional to 43,904 and 96,560

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Solution

The third proportional to 43,904 and 96,560 is: 212,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,904 : 96,560 = 96,560 : x
  2. Step 2: Convert to fraction form
    43,904/96,560 = 96,560/x
  3. Step 3: Cross multiply
    43,904x = 96,560 × 96,560
  4. Step 4: Simplify right side
    43,904x = 9,323,833,600
  5. Step 5: Solve for x
    x = 9,323,833,600/43,904
  6. Step 6: Final answer
    x = 212,368.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.