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Finding the Third Proportional to 59,926 and 130,576

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Solution

The third proportional to 59,926 and 130,576 is: 284,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,926 : 130,576 = 130,576 : x
  2. Step 2: Convert to fraction form
    59,926/130,576 = 130,576/x
  3. Step 3: Cross multiply
    59,926x = 130,576 × 130,576
  4. Step 4: Simplify right side
    59,926x = 17,050,091,776
  5. Step 5: Solve for x
    x = 17,050,091,776/59,926
  6. Step 6: Final answer
    x = 284,519.10

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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.