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Finding the Third Proportional to 59,210 and 128,140

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Solution

The third proportional to 59,210 and 128,140 is: 277,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,210 : 128,140 = 128,140 : x
  2. Step 2: Convert to fraction form
    59,210/128,140 = 128,140/x
  3. Step 3: Cross multiply
    59,210x = 128,140 × 128,140
  4. Step 4: Simplify right side
    59,210x = 16,419,859,600
  5. Step 5: Solve for x
    x = 16,419,859,600/59,210
  6. Step 6: Final answer
    x = 277,315.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.