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Finding the Third Proportional to 97,307 and 144,562

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Solution

The third proportional to 97,307 and 144,562 is: 214,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,307 : 144,562 = 144,562 : x
  2. Step 2: Convert to fraction form
    97,307/144,562 = 144,562/x
  3. Step 3: Cross multiply
    97,307x = 144,562 × 144,562
  4. Step 4: Simplify right side
    97,307x = 20,898,171,844
  5. Step 5: Solve for x
    x = 20,898,171,844/97,307
  6. Step 6: Final answer
    x = 214,765.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.