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Finding the Third Proportional to 59,130 and 127,638

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Solution

The third proportional to 59,130 and 127,638 is: 275,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,130 : 127,638 = 127,638 : x
  2. Step 2: Convert to fraction form
    59,130/127,638 = 127,638/x
  3. Step 3: Cross multiply
    59,130x = 127,638 × 127,638
  4. Step 4: Simplify right side
    59,130x = 16,291,459,044
  5. Step 5: Solve for x
    x = 16,291,459,044/59,130
  6. Step 6: Final answer
    x = 275,519.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.