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Finding the Third Proportional to 92,281 and 142,504

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Solution

The third proportional to 92,281 and 142,504 is: 220,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,281 : 142,504 = 142,504 : x
  2. Step 2: Convert to fraction form
    92,281/142,504 = 142,504/x
  3. Step 3: Cross multiply
    92,281x = 142,504 × 142,504
  4. Step 4: Simplify right side
    92,281x = 20,307,390,016
  5. Step 5: Solve for x
    x = 20,307,390,016/92,281
  6. Step 6: Final answer
    x = 220,060.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.