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Finding the Third Proportional to 62,289 and 94,081.50

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Solution

The third proportional to 62,289 and 94,081.50 is: 142,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,289 : 94,081.50 = 94,081.50 : x
  2. Step 2: Convert to fraction form
    62,289/94,081.50 = 94,081.50/x
  3. Step 3: Cross multiply
    62,289x = 94,081.50 × 94,081.50
  4. Step 4: Simplify right side
    62,289x = 8,851,328,642.25
  5. Step 5: Solve for x
    x = 8,851,328,642.25/62,289
  6. Step 6: Final answer
    x = 142,100.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.