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Finding the Third Proportional to 58,705 and 125,710

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Solution

The third proportional to 58,705 and 125,710 is: 269,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,705 : 125,710 = 125,710 : x
  2. Step 2: Convert to fraction form
    58,705/125,710 = 125,710/x
  3. Step 3: Cross multiply
    58,705x = 125,710 × 125,710
  4. Step 4: Simplify right side
    58,705x = 15,803,004,100
  5. Step 5: Solve for x
    x = 15,803,004,100/58,705
  6. Step 6: Final answer
    x = 269,193.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.