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Finding the Third Proportional to 61,248 and 129,840

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Solution

The third proportional to 61,248 and 129,840 is: 275,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,248 : 129,840 = 129,840 : x
  2. Step 2: Convert to fraction form
    61,248/129,840 = 129,840/x
  3. Step 3: Cross multiply
    61,248x = 129,840 × 129,840
  4. Step 4: Simplify right side
    61,248x = 16,858,425,600
  5. Step 5: Solve for x
    x = 16,858,425,600/61,248
  6. Step 6: Final answer
    x = 275,248.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.