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Finding the Third Proportional to 59,246 and 129,973

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Solution

The third proportional to 59,246 and 129,973 is: 285,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,246 : 129,973 = 129,973 : x
  2. Step 2: Convert to fraction form
    59,246/129,973 = 129,973/x
  3. Step 3: Cross multiply
    59,246x = 129,973 × 129,973
  4. Step 4: Simplify right side
    59,246x = 16,892,980,729
  5. Step 5: Solve for x
    x = 16,892,980,729/59,246
  6. Step 6: Final answer
    x = 285,132.85

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Why These Related Problems?

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