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Finding the Third Proportional to 59,284.59 and 91,113.94

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Solution

The third proportional to 59,284.59 and 91,113.94 is: 140,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,284.59 : 91,113.94 = 91,113.94 : x
  2. Step 2: Convert to fraction form
    59,284.59/91,113.94 = 91,113.94/x
  3. Step 3: Cross multiply
    59,284.59x = 91,113.94 × 91,113.94
  4. Step 4: Simplify right side
    59,284.59x = 8,301,749,606.75
  5. Step 5: Solve for x
    x = 8,301,749,606.75/59,284.59
  6. Step 6: Final answer
    x = 140,032.16

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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.