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Finding the Third Proportional to 64,988 and 98,188

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Solution

The third proportional to 64,988 and 98,188 is: 148,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,988 : 98,188 = 98,188 : x
  2. Step 2: Convert to fraction form
    64,988/98,188 = 98,188/x
  3. Step 3: Cross multiply
    64,988x = 98,188 × 98,188
  4. Step 4: Simplify right side
    64,988x = 9,640,883,344
  5. Step 5: Solve for x
    x = 9,640,883,344/64,988
  6. Step 6: Final answer
    x = 148,348.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.