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Finding the Third Proportional to 59,136 and 128,220

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Solution

The third proportional to 59,136 and 128,220 is: 278,009.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,136 : 128,220 = 128,220 : x
  2. Step 2: Convert to fraction form
    59,136/128,220 = 128,220/x
  3. Step 3: Cross multiply
    59,136x = 128,220 × 128,220
  4. Step 4: Simplify right side
    59,136x = 16,440,368,400
  5. Step 5: Solve for x
    x = 16,440,368,400/59,136
  6. Step 6: Final answer
    x = 278,009.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.