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Finding the Third Proportional to 72,749 and 108,030

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Solution

The third proportional to 72,749 and 108,030 is: 160,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,749 : 108,030 = 108,030 : x
  2. Step 2: Convert to fraction form
    72,749/108,030 = 108,030/x
  3. Step 3: Cross multiply
    72,749x = 108,030 × 108,030
  4. Step 4: Simplify right side
    72,749x = 11,670,480,900
  5. Step 5: Solve for x
    x = 11,670,480,900/72,749
  6. Step 6: Final answer
    x = 160,421.19

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.