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Finding the Third Proportional to 98,793 and 156,938

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Solution

The third proportional to 98,793 and 156,938 is: 249,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,793 : 156,938 = 156,938 : x
  2. Step 2: Convert to fraction form
    98,793/156,938 = 156,938/x
  3. Step 3: Cross multiply
    98,793x = 156,938 × 156,938
  4. Step 4: Simplify right side
    98,793x = 24,629,535,844
  5. Step 5: Solve for x
    x = 24,629,535,844/98,793
  6. Step 6: Final answer
    x = 249,304.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.