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Finding the Third Proportional to 103,657.50 and 155,567.50

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Solution

The third proportional to 103,657.50 and 155,567.50 is: 233,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,657.50 : 155,567.50 = 155,567.50 : x
  2. Step 2: Convert to fraction form
    103,657.50/155,567.50 = 155,567.50/x
  3. Step 3: Cross multiply
    103,657.50x = 155,567.50 × 155,567.50
  4. Step 4: Simplify right side
    103,657.50x = 24,201,247,056.25
  5. Step 5: Solve for x
    x = 24,201,247,056.25/103,657.50
  6. Step 6: Final answer
    x = 233,473.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.