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Finding the Third Proportional to 92,786 and 144,030

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Solution

The third proportional to 92,786 and 144,030 is: 223,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,786 : 144,030 = 144,030 : x
  2. Step 2: Convert to fraction form
    92,786/144,030 = 144,030/x
  3. Step 3: Cross multiply
    92,786x = 144,030 × 144,030
  4. Step 4: Simplify right side
    92,786x = 20,744,640,900
  5. Step 5: Solve for x
    x = 20,744,640,900/92,786
  6. Step 6: Final answer
    x = 223,575.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.