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Finding the Third Proportional to 59,398.50 and 92,986.50

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Solution

The third proportional to 59,398.50 and 92,986.50 is: 145,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,398.50 : 92,986.50 = 92,986.50 : x
  2. Step 2: Convert to fraction form
    59,398.50/92,986.50 = 92,986.50/x
  3. Step 3: Cross multiply
    59,398.50x = 92,986.50 × 92,986.50
  4. Step 4: Simplify right side
    59,398.50x = 8,646,489,182.25
  5. Step 5: Solve for x
    x = 8,646,489,182.25/59,398.50
  6. Step 6: Final answer
    x = 145,567.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.