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Finding the Third Proportional to 75,725.50 and 117,590.50

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Solution

The third proportional to 75,725.50 and 117,590.50 is: 182,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,725.50 : 117,590.50 = 117,590.50 : x
  2. Step 2: Convert to fraction form
    75,725.50/117,590.50 = 117,590.50/x
  3. Step 3: Cross multiply
    75,725.50x = 117,590.50 × 117,590.50
  4. Step 4: Simplify right side
    75,725.50x = 13,827,525,690.25
  5. Step 5: Solve for x
    x = 13,827,525,690.25/75,725.50
  6. Step 6: Final answer
    x = 182,600.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.