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Finding the Third Proportional to 62,096 and 98,369

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Solution

The third proportional to 62,096 and 98,369 is: 155,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,096 : 98,369 = 98,369 : x
  2. Step 2: Convert to fraction form
    62,096/98,369 = 98,369/x
  3. Step 3: Cross multiply
    62,096x = 98,369 × 98,369
  4. Step 4: Simplify right side
    62,096x = 9,676,460,161
  5. Step 5: Solve for x
    x = 9,676,460,161/62,096
  6. Step 6: Final answer
    x = 155,830.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.