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Finding the Third Proportional to 59,758.50 and 130,054.50

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Solution

The third proportional to 59,758.50 and 130,054.50 is: 283,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,758.50 : 130,054.50 = 130,054.50 : x
  2. Step 2: Convert to fraction form
    59,758.50/130,054.50 = 130,054.50/x
  3. Step 3: Cross multiply
    59,758.50x = 130,054.50 × 130,054.50
  4. Step 4: Simplify right side
    59,758.50x = 16,914,172,970.25
  5. Step 5: Solve for x
    x = 16,914,172,970.25/59,758.50
  6. Step 6: Final answer
    x = 283,042.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.