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Finding the Third Proportional to 59,180.63 and 89,385.19

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Solution

The third proportional to 59,180.63 and 89,385.19 is: 135,005.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,180.63 : 89,385.19 = 89,385.19 : x
  2. Step 2: Convert to fraction form
    59,180.63/89,385.19 = 89,385.19/x
  3. Step 3: Cross multiply
    59,180.63x = 89,385.19 × 89,385.19
  4. Step 4: Simplify right side
    59,180.63x = 7,989,711,744.41
  5. Step 5: Solve for x
    x = 7,989,711,744.41/59,180.63
  6. Step 6: Final answer
    x = 135,005.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.