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Finding the Third Proportional to 77,577.75 and 112,995

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Solution

The third proportional to 77,577.75 and 112,995 is: 164,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,577.75 : 112,995 = 112,995 : x
  2. Step 2: Convert to fraction form
    77,577.75/112,995 = 112,995/x
  3. Step 3: Cross multiply
    77,577.75x = 112,995 × 112,995
  4. Step 4: Simplify right side
    77,577.75x = 12,767,870,025
  5. Step 5: Solve for x
    x = 12,767,870,025/77,577.75
  6. Step 6: Final answer
    x = 164,581.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.