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Finding the Third Proportional to 42,416 and 92,140

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Solution

The third proportional to 42,416 and 92,140 is: 200,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416 : 92,140 = 92,140 : x
  2. Step 2: Convert to fraction form
    42,416/92,140 = 92,140/x
  3. Step 3: Cross multiply
    42,416x = 92,140 × 92,140
  4. Step 4: Simplify right side
    42,416x = 8,489,779,600
  5. Step 5: Solve for x
    x = 8,489,779,600/42,416
  6. Step 6: Final answer
    x = 200,155.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.