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Finding the Third Proportional to 72,354 and 112,022

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Solution

The third proportional to 72,354 and 112,022 is: 173,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,354 : 112,022 = 112,022 : x
  2. Step 2: Convert to fraction form
    72,354/112,022 = 112,022/x
  3. Step 3: Cross multiply
    72,354x = 112,022 × 112,022
  4. Step 4: Simplify right side
    72,354x = 12,548,928,484
  5. Step 5: Solve for x
    x = 12,548,928,484/72,354
  6. Step 6: Final answer
    x = 173,437.94

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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.