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Finding the Third Proportional to 77,005.50 and 115,194.50

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Solution

The third proportional to 77,005.50 and 115,194.50 is: 172,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,005.50 : 115,194.50 = 115,194.50 : x
  2. Step 2: Convert to fraction form
    77,005.50/115,194.50 = 115,194.50/x
  3. Step 3: Cross multiply
    77,005.50x = 115,194.50 × 115,194.50
  4. Step 4: Simplify right side
    77,005.50x = 13,269,772,830.25
  5. Step 5: Solve for x
    x = 13,269,772,830.25/77,005.50
  6. Step 6: Final answer
    x = 172,322.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.