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Finding the Third Proportional to 59,140.13 and 91,352.81

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Solution

The third proportional to 59,140.13 and 91,352.81 is: 141,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,140.13 : 91,352.81 = 91,352.81 : x
  2. Step 2: Convert to fraction form
    59,140.13/91,352.81 = 91,352.81/x
  3. Step 3: Cross multiply
    59,140.13x = 91,352.81 × 91,352.81
  4. Step 4: Simplify right side
    59,140.13x = 8,345,336,351.66
  5. Step 5: Solve for x
    x = 8,345,336,351.66/59,140.13
  6. Step 6: Final answer
    x = 141,111.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.