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Finding the Third Proportional to 59,280 and 125,232

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Solution

The third proportional to 59,280 and 125,232 is: 264,558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,280 : 125,232 = 125,232 : x
  2. Step 2: Convert to fraction form
    59,280/125,232 = 125,232/x
  3. Step 3: Cross multiply
    59,280x = 125,232 × 125,232
  4. Step 4: Simplify right side
    59,280x = 15,683,053,824
  5. Step 5: Solve for x
    x = 15,683,053,824/59,280
  6. Step 6: Final answer
    x = 264,558.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.