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Finding the Third Proportional to 49,712 and 96,904

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Solution

The third proportional to 49,712 and 96,904 is: 188,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,712 : 96,904 = 96,904 : x
  2. Step 2: Convert to fraction form
    49,712/96,904 = 96,904/x
  3. Step 3: Cross multiply
    49,712x = 96,904 × 96,904
  4. Step 4: Simplify right side
    49,712x = 9,390,385,216
  5. Step 5: Solve for x
    x = 9,390,385,216/49,712
  6. Step 6: Final answer
    x = 188,895.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.