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Finding the Third Proportional to 45,987 and 98,535

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Solution

The third proportional to 45,987 and 98,535 is: 211,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,987 : 98,535 = 98,535 : x
  2. Step 2: Convert to fraction form
    45,987/98,535 = 98,535/x
  3. Step 3: Cross multiply
    45,987x = 98,535 × 98,535
  4. Step 4: Simplify right side
    45,987x = 9,709,146,225
  5. Step 5: Solve for x
    x = 9,709,146,225/45,987
  6. Step 6: Final answer
    x = 211,128.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.