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Finding the Third Proportional to 77,475 and 117,756

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Solution

The third proportional to 77,475 and 117,756 is: 178,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,475 : 117,756 = 117,756 : x
  2. Step 2: Convert to fraction form
    77,475/117,756 = 117,756/x
  3. Step 3: Cross multiply
    77,475x = 117,756 × 117,756
  4. Step 4: Simplify right side
    77,475x = 13,866,475,536
  5. Step 5: Solve for x
    x = 13,866,475,536/77,475
  6. Step 6: Final answer
    x = 178,980.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.