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Finding the Third Proportional to 103,642.50 and 160,045

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Solution

The third proportional to 103,642.50 and 160,045 is: 247,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,642.50 : 160,045 = 160,045 : x
  2. Step 2: Convert to fraction form
    103,642.50/160,045 = 160,045/x
  3. Step 3: Cross multiply
    103,642.50x = 160,045 × 160,045
  4. Step 4: Simplify right side
    103,642.50x = 25,614,402,025
  5. Step 5: Solve for x
    x = 25,614,402,025/103,642.50
  6. Step 6: Final answer
    x = 247,141.88

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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.