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Finding the Third Proportional to 45,966.75 and 98,970

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Solution

The third proportional to 45,966.75 and 98,970 is: 213,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,966.75 : 98,970 = 98,970 : x
  2. Step 2: Convert to fraction form
    45,966.75/98,970 = 98,970/x
  3. Step 3: Cross multiply
    45,966.75x = 98,970 × 98,970
  4. Step 4: Simplify right side
    45,966.75x = 9,795,060,900
  5. Step 5: Solve for x
    x = 9,795,060,900/45,966.75
  6. Step 6: Final answer
    x = 213,090.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.