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Finding the Third Proportional to 42,585.50 and 89,585

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Solution

The third proportional to 42,585.50 and 89,585 is: 188,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,585.50 : 89,585 = 89,585 : x
  2. Step 2: Convert to fraction form
    42,585.50/89,585 = 89,585/x
  3. Step 3: Cross multiply
    42,585.50x = 89,585 × 89,585
  4. Step 4: Simplify right side
    42,585.50x = 8,025,472,225
  5. Step 5: Solve for x
    x = 8,025,472,225/42,585.50
  6. Step 6: Final answer
    x = 188,455.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.