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Finding the Third Proportional to 77,604 and 116,598

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Solution

The third proportional to 77,604 and 116,598 is: 175,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,604 : 116,598 = 116,598 : x
  2. Step 2: Convert to fraction form
    77,604/116,598 = 116,598/x
  3. Step 3: Cross multiply
    77,604x = 116,598 × 116,598
  4. Step 4: Simplify right side
    77,604x = 13,595,093,604
  5. Step 5: Solve for x
    x = 13,595,093,604/77,604
  6. Step 6: Final answer
    x = 175,185.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.