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Finding the Third Proportional to 65,920 and 98,136

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Solution

The third proportional to 65,920 and 98,136 is: 146,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,920 : 98,136 = 98,136 : x
  2. Step 2: Convert to fraction form
    65,920/98,136 = 98,136/x
  3. Step 3: Cross multiply
    65,920x = 98,136 × 98,136
  4. Step 4: Simplify right side
    65,920x = 9,630,674,496
  5. Step 5: Solve for x
    x = 9,630,674,496/65,920
  6. Step 6: Final answer
    x = 146,096.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.