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Finding the Third Proportional to 59,075.06 and 129,631.88

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Solution

The third proportional to 59,075.06 and 129,631.88 is: 284,458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,075.06 : 129,631.88 = 129,631.88 : x
  2. Step 2: Convert to fraction form
    59,075.06/129,631.88 = 129,631.88/x
  3. Step 3: Cross multiply
    59,075.06x = 129,631.88 × 129,631.88
  4. Step 4: Simplify right side
    59,075.06x = 16,804,423,016.02
  5. Step 5: Solve for x
    x = 16,804,423,016.02/59,075.06
  6. Step 6: Final answer
    x = 284,458.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.