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Finding the Third Proportional to 72,213 and 155,843.50

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Solution

The third proportional to 72,213 and 155,843.50 is: 336,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,213 : 155,843.50 = 155,843.50 : x
  2. Step 2: Convert to fraction form
    72,213/155,843.50 = 155,843.50/x
  3. Step 3: Cross multiply
    72,213x = 155,843.50 × 155,843.50
  4. Step 4: Simplify right side
    72,213x = 24,287,196,492.25
  5. Step 5: Solve for x
    x = 24,287,196,492.25/72,213
  6. Step 6: Final answer
    x = 336,327.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.