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Finding the Third Proportional to 92,352 and 142,944

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Solution

The third proportional to 92,352 and 142,944 is: 221,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,352 : 142,944 = 142,944 : x
  2. Step 2: Convert to fraction form
    92,352/142,944 = 142,944/x
  3. Step 3: Cross multiply
    92,352x = 142,944 × 142,944
  4. Step 4: Simplify right side
    92,352x = 20,432,987,136
  5. Step 5: Solve for x
    x = 20,432,987,136/92,352
  6. Step 6: Final answer
    x = 221,251.16

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