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Finding the Third Proportional to 58,142.25 and 89,957.25

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Solution

The third proportional to 58,142.25 and 89,957.25 is: 139,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,142.25 : 89,957.25 = 89,957.25 : x
  2. Step 2: Convert to fraction form
    58,142.25/89,957.25 = 89,957.25/x
  3. Step 3: Cross multiply
    58,142.25x = 89,957.25 × 89,957.25
  4. Step 4: Simplify right side
    58,142.25x = 8,092,306,827.56
  5. Step 5: Solve for x
    x = 8,092,306,827.56/58,142.25
  6. Step 6: Final answer
    x = 139,181.18

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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.