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Finding the Third Proportional to 93,670.50 and 142,852.50

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Solution

The third proportional to 93,670.50 and 142,852.50 is: 217,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,670.50 : 142,852.50 = 142,852.50 : x
  2. Step 2: Convert to fraction form
    93,670.50/142,852.50 = 142,852.50/x
  3. Step 3: Cross multiply
    93,670.50x = 142,852.50 × 142,852.50
  4. Step 4: Simplify right side
    93,670.50x = 20,406,836,756.25
  5. Step 5: Solve for x
    x = 20,406,836,756.25/93,670.50
  6. Step 6: Final answer
    x = 217,857.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.