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Finding the Third Proportional to 109,017 and 163,534.50

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Solution

The third proportional to 109,017 and 163,534.50 is: 245,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,017 : 163,534.50 = 163,534.50 : x
  2. Step 2: Convert to fraction form
    109,017/163,534.50 = 163,534.50/x
  3. Step 3: Cross multiply
    109,017x = 163,534.50 × 163,534.50
  4. Step 4: Simplify right side
    109,017x = 26,743,532,690.25
  5. Step 5: Solve for x
    x = 26,743,532,690.25/109,017
  6. Step 6: Final answer
    x = 245,315.25

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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.