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Finding the Third Proportional to 93,972.66 and 145,674.70

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Solution

The third proportional to 93,972.66 and 145,674.70 is: 225,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,972.66 : 145,674.70 = 145,674.70 : x
  2. Step 2: Convert to fraction form
    93,972.66/145,674.70 = 145,674.70/x
  3. Step 3: Cross multiply
    93,972.66x = 145,674.70 × 145,674.70
  4. Step 4: Simplify right side
    93,972.66x = 21,221,119,130.56
  5. Step 5: Solve for x
    x = 21,221,119,130.56/93,972.66
  6. Step 6: Final answer
    x = 225,822.28

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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.