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Finding the Third Proportional to 83,506 and 147,176

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Solution

The third proportional to 83,506 and 147,176 is: 259,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,506 : 147,176 = 147,176 : x
  2. Step 2: Convert to fraction form
    83,506/147,176 = 147,176/x
  3. Step 3: Cross multiply
    83,506x = 147,176 × 147,176
  4. Step 4: Simplify right side
    83,506x = 21,660,774,976
  5. Step 5: Solve for x
    x = 21,660,774,976/83,506
  6. Step 6: Final answer
    x = 259,391.84

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.