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Finding the Third Proportional to 35,604 and 77,052

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Solution

The third proportional to 35,604 and 77,052 is: 166,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,604 : 77,052 = 77,052 : x
  2. Step 2: Convert to fraction form
    35,604/77,052 = 77,052/x
  3. Step 3: Cross multiply
    35,604x = 77,052 × 77,052
  4. Step 4: Simplify right side
    35,604x = 5,937,010,704
  5. Step 5: Solve for x
    x = 5,937,010,704/35,604
  6. Step 6: Final answer
    x = 166,751.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.