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Finding the Third Proportional to 59,436.50 and 130,536

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Solution

The third proportional to 59,436.50 and 130,536 is: 286,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,436.50 : 130,536 = 130,536 : x
  2. Step 2: Convert to fraction form
    59,436.50/130,536 = 130,536/x
  3. Step 3: Cross multiply
    59,436.50x = 130,536 × 130,536
  4. Step 4: Simplify right side
    59,436.50x = 17,039,647,296
  5. Step 5: Solve for x
    x = 17,039,647,296/59,436.50
  6. Step 6: Final answer
    x = 286,686.59

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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.