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Finding the Third Proportional to 103,987 and 212,901.75

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Solution

The third proportional to 103,987 and 212,901.75 is: 435,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,987 : 212,901.75 = 212,901.75 : x
  2. Step 2: Convert to fraction form
    103,987/212,901.75 = 212,901.75/x
  3. Step 3: Cross multiply
    103,987x = 212,901.75 × 212,901.75
  4. Step 4: Simplify right side
    103,987x = 45,327,155,153.06
  5. Step 5: Solve for x
    x = 45,327,155,153.06/103,987
  6. Step 6: Final answer
    x = 435,892.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.