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Finding the Third Proportional to 85,374 and 123,340.50

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Solution

The third proportional to 85,374 and 123,340.50 is: 178,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,374 : 123,340.50 = 123,340.50 : x
  2. Step 2: Convert to fraction form
    85,374/123,340.50 = 123,340.50/x
  3. Step 3: Cross multiply
    85,374x = 123,340.50 × 123,340.50
  4. Step 4: Simplify right side
    85,374x = 15,212,878,940.25
  5. Step 5: Solve for x
    x = 15,212,878,940.25/85,374
  6. Step 6: Final answer
    x = 178,191.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.