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Finding the Third Proportional to 59,160 and 91,596

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Solution

The third proportional to 59,160 and 91,596 is: 141,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,160 : 91,596 = 91,596 : x
  2. Step 2: Convert to fraction form
    59,160/91,596 = 91,596/x
  3. Step 3: Cross multiply
    59,160x = 91,596 × 91,596
  4. Step 4: Simplify right side
    59,160x = 8,389,827,216
  5. Step 5: Solve for x
    x = 8,389,827,216/59,160
  6. Step 6: Final answer
    x = 141,815.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.