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Finding the Third Proportional to 56,929 and 90,945.50

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Solution

The third proportional to 56,929 and 90,945.50 is: 145,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,929 : 90,945.50 = 90,945.50 : x
  2. Step 2: Convert to fraction form
    56,929/90,945.50 = 90,945.50/x
  3. Step 3: Cross multiply
    56,929x = 90,945.50 × 90,945.50
  4. Step 4: Simplify right side
    56,929x = 8,271,083,970.25
  5. Step 5: Solve for x
    x = 8,271,083,970.25/56,929
  6. Step 6: Final answer
    x = 145,287.71

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.