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Finding the Third Proportional to 93,144 and 147,554

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Solution

The third proportional to 93,144 and 147,554 is: 233,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,144 : 147,554 = 147,554 : x
  2. Step 2: Convert to fraction form
    93,144/147,554 = 147,554/x
  3. Step 3: Cross multiply
    93,144x = 147,554 × 147,554
  4. Step 4: Simplify right side
    93,144x = 21,772,182,916
  5. Step 5: Solve for x
    x = 21,772,182,916/93,144
  6. Step 6: Final answer
    x = 233,747.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.