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Finding the Third Proportional to 66,988.75 and 103,678.50

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Solution

The third proportional to 66,988.75 and 103,678.50 is: 160,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,988.75 : 103,678.50 = 103,678.50 : x
  2. Step 2: Convert to fraction form
    66,988.75/103,678.50 = 103,678.50/x
  3. Step 3: Cross multiply
    66,988.75x = 103,678.50 × 103,678.50
  4. Step 4: Simplify right side
    66,988.75x = 10,749,231,362.25
  5. Step 5: Solve for x
    x = 10,749,231,362.25/66,988.75
  6. Step 6: Final answer
    x = 160,463.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.