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Finding the Third Proportional to 56,640 and 89,959.50

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Solution

The third proportional to 56,640 and 89,959.50 is: 142,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,640 : 89,959.50 = 89,959.50 : x
  2. Step 2: Convert to fraction form
    56,640/89,959.50 = 89,959.50/x
  3. Step 3: Cross multiply
    56,640x = 89,959.50 × 89,959.50
  4. Step 4: Simplify right side
    56,640x = 8,092,711,640.25
  5. Step 5: Solve for x
    x = 8,092,711,640.25/56,640
  6. Step 6: Final answer
    x = 142,879.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.