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Finding the Third Proportional to 103,810.50 and 160,386.75

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Solution

The third proportional to 103,810.50 and 160,386.75 is: 247,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,810.50 : 160,386.75 = 160,386.75 : x
  2. Step 2: Convert to fraction form
    103,810.50/160,386.75 = 160,386.75/x
  3. Step 3: Cross multiply
    103,810.50x = 160,386.75 × 160,386.75
  4. Step 4: Simplify right side
    103,810.50x = 25,723,909,575.56
  5. Step 5: Solve for x
    x = 25,723,909,575.56/103,810.50
  6. Step 6: Final answer
    x = 247,796.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.