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Finding the Third Proportional to 92,284 and 141,472

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Solution

The third proportional to 92,284 and 141,472 is: 216,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,284 : 141,472 = 141,472 : x
  2. Step 2: Convert to fraction form
    92,284/141,472 = 141,472/x
  3. Step 3: Cross multiply
    92,284x = 141,472 × 141,472
  4. Step 4: Simplify right side
    92,284x = 20,014,326,784
  5. Step 5: Solve for x
    x = 20,014,326,784/92,284
  6. Step 6: Final answer
    x = 216,877.54

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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.