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Finding the Third Proportional to 78,465.50 and 171,146

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Solution

The third proportional to 78,465.50 and 171,146 is: 373,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.50 : 171,146 = 171,146 : x
  2. Step 2: Convert to fraction form
    78,465.50/171,146 = 171,146/x
  3. Step 3: Cross multiply
    78,465.50x = 171,146 × 171,146
  4. Step 4: Simplify right side
    78,465.50x = 29,290,953,316
  5. Step 5: Solve for x
    x = 29,290,953,316/78,465.50
  6. Step 6: Final answer
    x = 373,297.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.