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Finding the Third Proportional to 109,148 and 163,052

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Solution

The third proportional to 109,148 and 163,052 is: 243,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,148 : 163,052 = 163,052 : x
  2. Step 2: Convert to fraction form
    109,148/163,052 = 163,052/x
  3. Step 3: Cross multiply
    109,148x = 163,052 × 163,052
  4. Step 4: Simplify right side
    109,148x = 26,585,954,704
  5. Step 5: Solve for x
    x = 26,585,954,704/109,148
  6. Step 6: Final answer
    x = 243,577.11

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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.