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Finding the Third Proportional to 59,700 and 80,784

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Solution

The third proportional to 59,700 and 80,784 is: 109,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,700 : 80,784 = 80,784 : x
  2. Step 2: Convert to fraction form
    59,700/80,784 = 80,784/x
  3. Step 3: Cross multiply
    59,700x = 80,784 × 80,784
  4. Step 4: Simplify right side
    59,700x = 6,526,054,656
  5. Step 5: Solve for x
    x = 6,526,054,656/59,700
  6. Step 6: Final answer
    x = 109,314.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.