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Finding the Third Proportional to 93,427.50 and 144,732

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Solution

The third proportional to 93,427.50 and 144,732 is: 224,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,427.50 : 144,732 = 144,732 : x
  2. Step 2: Convert to fraction form
    93,427.50/144,732 = 144,732/x
  3. Step 3: Cross multiply
    93,427.50x = 144,732 × 144,732
  4. Step 4: Simplify right side
    93,427.50x = 20,947,351,824
  5. Step 5: Solve for x
    x = 20,947,351,824/93,427.50
  6. Step 6: Final answer
    x = 224,209.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.