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Finding the Third Proportional to 92,938 and 144,111

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Solution

The third proportional to 92,938 and 144,111 is: 223,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,938 : 144,111 = 144,111 : x
  2. Step 2: Convert to fraction form
    92,938/144,111 = 144,111/x
  3. Step 3: Cross multiply
    92,938x = 144,111 × 144,111
  4. Step 4: Simplify right side
    92,938x = 20,767,980,321
  5. Step 5: Solve for x
    x = 20,767,980,321/92,938
  6. Step 6: Final answer
    x = 223,460.59

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Why These Related Problems?

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