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Finding the Third Proportional to 77,582.25 and 118,627.75

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Solution

The third proportional to 77,582.25 and 118,627.75 is: 181,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,582.25 : 118,627.75 = 118,627.75 : x
  2. Step 2: Convert to fraction form
    77,582.25/118,627.75 = 118,627.75/x
  3. Step 3: Cross multiply
    77,582.25x = 118,627.75 × 118,627.75
  4. Step 4: Simplify right side
    77,582.25x = 14,072,543,070.06
  5. Step 5: Solve for x
    x = 14,072,543,070.06/77,582.25
  6. Step 6: Final answer
    x = 181,388.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.