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Finding the Third Proportional to 74,604 and 112,620

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Solution

The third proportional to 74,604 and 112,620 is: 170,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,604 : 112,620 = 112,620 : x
  2. Step 2: Convert to fraction form
    74,604/112,620 = 112,620/x
  3. Step 3: Cross multiply
    74,604x = 112,620 × 112,620
  4. Step 4: Simplify right side
    74,604x = 12,683,264,400
  5. Step 5: Solve for x
    x = 12,683,264,400/74,604
  6. Step 6: Final answer
    x = 170,007.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.