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Finding the Third Proportional to 93,673.50 and 142,842

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Solution

The third proportional to 93,673.50 and 142,842 is: 217,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,673.50 : 142,842 = 142,842 : x
  2. Step 2: Convert to fraction form
    93,673.50/142,842 = 142,842/x
  3. Step 3: Cross multiply
    93,673.50x = 142,842 × 142,842
  4. Step 4: Simplify right side
    93,673.50x = 20,403,836,964
  5. Step 5: Solve for x
    x = 20,403,836,964/93,673.50
  6. Step 6: Final answer
    x = 217,818.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.