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Finding the Third Proportional to 59,263 and 130,116.50

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Solution

The third proportional to 59,263 and 130,116.50 is: 285,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,263 : 130,116.50 = 130,116.50 : x
  2. Step 2: Convert to fraction form
    59,263/130,116.50 = 130,116.50/x
  3. Step 3: Cross multiply
    59,263x = 130,116.50 × 130,116.50
  4. Step 4: Simplify right side
    59,263x = 16,930,303,572.25
  5. Step 5: Solve for x
    x = 16,930,303,572.25/59,263
  6. Step 6: Final answer
    x = 285,680.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.