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Finding the Third Proportional to 97,264 and 142,736

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Solution

The third proportional to 97,264 and 142,736 is: 209,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,264 : 142,736 = 142,736 : x
  2. Step 2: Convert to fraction form
    97,264/142,736 = 142,736/x
  3. Step 3: Cross multiply
    97,264x = 142,736 × 142,736
  4. Step 4: Simplify right side
    97,264x = 20,373,565,696
  5. Step 5: Solve for x
    x = 20,373,565,696/97,264
  6. Step 6: Final answer
    x = 209,466.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.