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Finding the Third Proportional to 65,520 and 98,168

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Solution

The third proportional to 65,520 and 98,168 is: 147,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,520 : 98,168 = 98,168 : x
  2. Step 2: Convert to fraction form
    65,520/98,168 = 98,168/x
  3. Step 3: Cross multiply
    65,520x = 98,168 × 98,168
  4. Step 4: Simplify right side
    65,520x = 9,636,956,224
  5. Step 5: Solve for x
    x = 9,636,956,224/65,520
  6. Step 6: Final answer
    x = 147,084.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.