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Finding the Third Proportional to 62,156 and 98,850

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Solution

The third proportional to 62,156 and 98,850 is: 157,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,156 : 98,850 = 98,850 : x
  2. Step 2: Convert to fraction form
    62,156/98,850 = 98,850/x
  3. Step 3: Cross multiply
    62,156x = 98,850 × 98,850
  4. Step 4: Simplify right side
    62,156x = 9,771,322,500
  5. Step 5: Solve for x
    x = 9,771,322,500/62,156
  6. Step 6: Final answer
    x = 157,206.42

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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.