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Finding the Third Proportional to 98,722 and 144,380

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Solution

The third proportional to 98,722 and 144,380 is: 211,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,722 : 144,380 = 144,380 : x
  2. Step 2: Convert to fraction form
    98,722/144,380 = 144,380/x
  3. Step 3: Cross multiply
    98,722x = 144,380 × 144,380
  4. Step 4: Simplify right side
    98,722x = 20,845,584,400
  5. Step 5: Solve for x
    x = 20,845,584,400/98,722
  6. Step 6: Final answer
    x = 211,154.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.