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Finding the Third Proportional to 59,850 and 91,066.50

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Solution

The third proportional to 59,850 and 91,066.50 is: 138,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,850 : 91,066.50 = 91,066.50 : x
  2. Step 2: Convert to fraction form
    59,850/91,066.50 = 91,066.50/x
  3. Step 3: Cross multiply
    59,850x = 91,066.50 × 91,066.50
  4. Step 4: Simplify right side
    59,850x = 8,293,107,422.25
  5. Step 5: Solve for x
    x = 8,293,107,422.25/59,850
  6. Step 6: Final answer
    x = 138,564.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.