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Finding the Third Proportional to 58,770 and 125,028

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Solution

The third proportional to 58,770 and 125,028 is: 265,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,770 : 125,028 = 125,028 : x
  2. Step 2: Convert to fraction form
    58,770/125,028 = 125,028/x
  3. Step 3: Cross multiply
    58,770x = 125,028 × 125,028
  4. Step 4: Simplify right side
    58,770x = 15,632,000,784
  5. Step 5: Solve for x
    x = 15,632,000,784/58,770
  6. Step 6: Final answer
    x = 265,986.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.