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Finding the Third Proportional to 93,966.75 and 145,724.06

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Solution

The third proportional to 93,966.75 and 145,724.06 is: 225,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,966.75 : 145,724.06 = 145,724.06 : x
  2. Step 2: Convert to fraction form
    93,966.75/145,724.06 = 145,724.06/x
  3. Step 3: Cross multiply
    93,966.75x = 145,724.06 × 145,724.06
  4. Step 4: Simplify right side
    93,966.75x = 21,235,502,391.50
  5. Step 5: Solve for x
    x = 21,235,502,391.50/93,966.75
  6. Step 6: Final answer
    x = 225,989.54

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Why These Related Problems?

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