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Finding the Third Proportional to 72,580 and 111,030

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Solution

The third proportional to 72,580 and 111,030 is: 169,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,580 : 111,030 = 111,030 : x
  2. Step 2: Convert to fraction form
    72,580/111,030 = 111,030/x
  3. Step 3: Cross multiply
    72,580x = 111,030 × 111,030
  4. Step 4: Simplify right side
    72,580x = 12,327,660,900
  5. Step 5: Solve for x
    x = 12,327,660,900/72,580
  6. Step 6: Final answer
    x = 169,849.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.