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Finding the Third Proportional to 66,732 and 99,378

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Solution

The third proportional to 66,732 and 99,378 is: 147,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,732 : 99,378 = 99,378 : x
  2. Step 2: Convert to fraction form
    66,732/99,378 = 99,378/x
  3. Step 3: Cross multiply
    66,732x = 99,378 × 99,378
  4. Step 4: Simplify right side
    66,732x = 9,875,986,884
  5. Step 5: Solve for x
    x = 9,875,986,884/66,732
  6. Step 6: Final answer
    x = 147,994.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.