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Finding the Third Proportional to 55,492 and 98,648

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Solution

The third proportional to 55,492 and 98,648 is: 175,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,492 : 98,648 = 98,648 : x
  2. Step 2: Convert to fraction form
    55,492/98,648 = 98,648/x
  3. Step 3: Cross multiply
    55,492x = 98,648 × 98,648
  4. Step 4: Simplify right side
    55,492x = 9,731,427,904
  5. Step 5: Solve for x
    x = 9,731,427,904/55,492
  6. Step 6: Final answer
    x = 175,366.32

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.