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Finding the Third Proportional to 72,742 and 98,235

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Solution

The third proportional to 72,742 and 98,235 is: 132,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,742 : 98,235 = 98,235 : x
  2. Step 2: Convert to fraction form
    72,742/98,235 = 98,235/x
  3. Step 3: Cross multiply
    72,742x = 98,235 × 98,235
  4. Step 4: Simplify right side
    72,742x = 9,650,115,225
  5. Step 5: Solve for x
    x = 9,650,115,225/72,742
  6. Step 6: Final answer
    x = 132,662.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.