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Finding the Third Proportional to 42,730.50 and 91,293

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Solution

The third proportional to 42,730.50 and 91,293 is: 195,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,730.50 : 91,293 = 91,293 : x
  2. Step 2: Convert to fraction form
    42,730.50/91,293 = 91,293/x
  3. Step 3: Cross multiply
    42,730.50x = 91,293 × 91,293
  4. Step 4: Simplify right side
    42,730.50x = 8,334,411,849
  5. Step 5: Solve for x
    x = 8,334,411,849/42,730.50
  6. Step 6: Final answer
    x = 195,045.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.