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Finding the Third Proportional to 77,963.63 and 118,585.69

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Solution

The third proportional to 77,963.63 and 118,585.69 is: 180,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,963.63 : 118,585.69 = 118,585.69 : x
  2. Step 2: Convert to fraction form
    77,963.63/118,585.69 = 118,585.69/x
  3. Step 3: Cross multiply
    77,963.63x = 118,585.69 × 118,585.69
  4. Step 4: Simplify right side
    77,963.63x = 14,062,565,279.85
  5. Step 5: Solve for x
    x = 14,062,565,279.85/77,963.63
  6. Step 6: Final answer
    x = 180,373.41

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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.