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Finding the Third Proportional to 93,570.31 and 143,825.81

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Solution

The third proportional to 93,570.31 and 143,825.81 is: 221,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,570.31 : 143,825.81 = 143,825.81 : x
  2. Step 2: Convert to fraction form
    93,570.31/143,825.81 = 143,825.81/x
  3. Step 3: Cross multiply
    93,570.31x = 143,825.81 × 143,825.81
  4. Step 4: Simplify right side
    93,570.31x = 20,685,864,341.29
  5. Step 5: Solve for x
    x = 20,685,864,341.29/93,570.31
  6. Step 6: Final answer
    x = 221,072.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.