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Finding the Third Proportional to 109,170 and 163,084.50

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Solution

The third proportional to 109,170 and 163,084.50 is: 243,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,170 : 163,084.50 = 163,084.50 : x
  2. Step 2: Convert to fraction form
    109,170/163,084.50 = 163,084.50/x
  3. Step 3: Cross multiply
    109,170x = 163,084.50 × 163,084.50
  4. Step 4: Simplify right side
    109,170x = 26,596,554,140.25
  5. Step 5: Solve for x
    x = 26,596,554,140.25/109,170
  6. Step 6: Final answer
    x = 243,625.12

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