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Finding the Third Proportional to 59,639 and 130,114

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Solution

The third proportional to 59,639 and 130,114 is: 283,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,639 : 130,114 = 130,114 : x
  2. Step 2: Convert to fraction form
    59,639/130,114 = 130,114/x
  3. Step 3: Cross multiply
    59,639x = 130,114 × 130,114
  4. Step 4: Simplify right side
    59,639x = 16,929,652,996
  5. Step 5: Solve for x
    x = 16,929,652,996/59,639
  6. Step 6: Final answer
    x = 283,868.83

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Why These Related Problems?

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