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Finding the Third Proportional to 71,857.50 and 151,156.50

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Solution

The third proportional to 71,857.50 and 151,156.50 is: 317,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,857.50 : 151,156.50 = 151,156.50 : x
  2. Step 2: Convert to fraction form
    71,857.50/151,156.50 = 151,156.50/x
  3. Step 3: Cross multiply
    71,857.50x = 151,156.50 × 151,156.50
  4. Step 4: Simplify right side
    71,857.50x = 22,848,287,492.25
  5. Step 5: Solve for x
    x = 22,848,287,492.25/71,857.50
  6. Step 6: Final answer
    x = 317,966.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.