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Finding the Third Proportional to 46,972 and 98,865

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Solution

The third proportional to 46,972 and 98,865 is: 208,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,972 : 98,865 = 98,865 : x
  2. Step 2: Convert to fraction form
    46,972/98,865 = 98,865/x
  3. Step 3: Cross multiply
    46,972x = 98,865 × 98,865
  4. Step 4: Simplify right side
    46,972x = 9,774,288,225
  5. Step 5: Solve for x
    x = 9,774,288,225/46,972
  6. Step 6: Final answer
    x = 208,087.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.