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Finding the Third Proportional to 42,136 and 56,540

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Solution

The third proportional to 42,136 and 56,540 is: 75,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,136 : 56,540 = 56,540 : x
  2. Step 2: Convert to fraction form
    42,136/56,540 = 56,540/x
  3. Step 3: Cross multiply
    42,136x = 56,540 × 56,540
  4. Step 4: Simplify right side
    42,136x = 3,196,771,600
  5. Step 5: Solve for x
    x = 3,196,771,600/42,136
  6. Step 6: Final answer
    x = 75,867.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.