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Finding the Third Proportional to 92,278 and 144,566

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Solution

The third proportional to 92,278 and 144,566 is: 226,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,278 : 144,566 = 144,566 : x
  2. Step 2: Convert to fraction form
    92,278/144,566 = 144,566/x
  3. Step 3: Cross multiply
    92,278x = 144,566 × 144,566
  4. Step 4: Simplify right side
    92,278x = 20,899,328,356
  5. Step 5: Solve for x
    x = 20,899,328,356/92,278
  6. Step 6: Final answer
    x = 226,482.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.