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Finding the Third Proportional to 59,422.50 and 94,603.50

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Solution

The third proportional to 59,422.50 and 94,603.50 is: 150,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,422.50 : 94,603.50 = 94,603.50 : x
  2. Step 2: Convert to fraction form
    59,422.50/94,603.50 = 94,603.50/x
  3. Step 3: Cross multiply
    59,422.50x = 94,603.50 × 94,603.50
  4. Step 4: Simplify right side
    59,422.50x = 8,949,822,212.25
  5. Step 5: Solve for x
    x = 8,949,822,212.25/59,422.50
  6. Step 6: Final answer
    x = 150,613.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.