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Finding the Third Proportional to 92,281 and 141,470

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Solution

The third proportional to 92,281 and 141,470 is: 216,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,281 : 141,470 = 141,470 : x
  2. Step 2: Convert to fraction form
    92,281/141,470 = 141,470/x
  3. Step 3: Cross multiply
    92,281x = 141,470 × 141,470
  4. Step 4: Simplify right side
    92,281x = 20,013,760,900
  5. Step 5: Solve for x
    x = 20,013,760,900/92,281
  6. Step 6: Final answer
    x = 216,878.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.