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Finding the Third Proportional to 93,549.75 and 144,015

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Solution

The third proportional to 93,549.75 and 144,015 is: 221,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,549.75 : 144,015 = 144,015 : x
  2. Step 2: Convert to fraction form
    93,549.75/144,015 = 144,015/x
  3. Step 3: Cross multiply
    93,549.75x = 144,015 × 144,015
  4. Step 4: Simplify right side
    93,549.75x = 20,740,320,225
  5. Step 5: Solve for x
    x = 20,740,320,225/93,549.75
  6. Step 6: Final answer
    x = 221,703.64

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Why These Related Problems?

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