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Finding the Third Proportional to 94,960 and 147,620

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Solution

The third proportional to 94,960 and 147,620 is: 229,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,960 : 147,620 = 147,620 : x
  2. Step 2: Convert to fraction form
    94,960/147,620 = 147,620/x
  3. Step 3: Cross multiply
    94,960x = 147,620 × 147,620
  4. Step 4: Simplify right side
    94,960x = 21,791,664,400
  5. Step 5: Solve for x
    x = 21,791,664,400/94,960
  6. Step 6: Final answer
    x = 229,482.57

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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.