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Finding the Third Proportional to 48,712.50 and 105,196.50

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Solution

The third proportional to 48,712.50 and 105,196.50 is: 227,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,712.50 : 105,196.50 = 105,196.50 : x
  2. Step 2: Convert to fraction form
    48,712.50/105,196.50 = 105,196.50/x
  3. Step 3: Cross multiply
    48,712.50x = 105,196.50 × 105,196.50
  4. Step 4: Simplify right side
    48,712.50x = 11,066,303,612.25
  5. Step 5: Solve for x
    x = 11,066,303,612.25/48,712.50
  6. Step 6: Final answer
    x = 227,175.85

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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.