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Finding the Third Proportional to 42,358 and 92,095

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Solution

The third proportional to 42,358 and 92,095 is: 200,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,358 : 92,095 = 92,095 : x
  2. Step 2: Convert to fraction form
    42,358/92,095 = 92,095/x
  3. Step 3: Cross multiply
    42,358x = 92,095 × 92,095
  4. Step 4: Simplify right side
    42,358x = 8,481,489,025
  5. Step 5: Solve for x
    x = 8,481,489,025/42,358
  6. Step 6: Final answer
    x = 200,233.46

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