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Finding the Third Proportional to 65,571 and 142,156.50

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Solution

The third proportional to 65,571 and 142,156.50 is: 308,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,571 : 142,156.50 = 142,156.50 : x
  2. Step 2: Convert to fraction form
    65,571/142,156.50 = 142,156.50/x
  3. Step 3: Cross multiply
    65,571x = 142,156.50 × 142,156.50
  4. Step 4: Simplify right side
    65,571x = 20,208,470,492.25
  5. Step 5: Solve for x
    x = 20,208,470,492.25/65,571
  6. Step 6: Final answer
    x = 308,192.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.