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Finding the Third Proportional to 59,202 and 128,850

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Solution

The third proportional to 59,202 and 128,850 is: 280,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,202 : 128,850 = 128,850 : x
  2. Step 2: Convert to fraction form
    59,202/128,850 = 128,850/x
  3. Step 3: Cross multiply
    59,202x = 128,850 × 128,850
  4. Step 4: Simplify right side
    59,202x = 16,602,322,500
  5. Step 5: Solve for x
    x = 16,602,322,500/59,202
  6. Step 6: Final answer
    x = 280,435.16

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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.