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Finding the Third Proportional to 93,632.75 and 146,724.50

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Solution

The third proportional to 93,632.75 and 146,724.50 is: 229,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,632.75 : 146,724.50 = 146,724.50 : x
  2. Step 2: Convert to fraction form
    93,632.75/146,724.50 = 146,724.50/x
  3. Step 3: Cross multiply
    93,632.75x = 146,724.50 × 146,724.50
  4. Step 4: Simplify right side
    93,632.75x = 21,528,078,900.25
  5. Step 5: Solve for x
    x = 21,528,078,900.25/93,632.75
  6. Step 6: Final answer
    x = 229,920.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.