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Finding the Third Proportional to 59,430 and 126,492

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Solution

The third proportional to 59,430 and 126,492 is: 269,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,430 : 126,492 = 126,492 : x
  2. Step 2: Convert to fraction form
    59,430/126,492 = 126,492/x
  3. Step 3: Cross multiply
    59,430x = 126,492 × 126,492
  4. Step 4: Simplify right side
    59,430x = 16,000,226,064
  5. Step 5: Solve for x
    x = 16,000,226,064/59,430
  6. Step 6: Final answer
    x = 269,228.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.