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Finding the Third Proportional to 66,015 and 142,551.50

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Solution

The third proportional to 66,015 and 142,551.50 is: 307,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,015 : 142,551.50 = 142,551.50 : x
  2. Step 2: Convert to fraction form
    66,015/142,551.50 = 142,551.50/x
  3. Step 3: Cross multiply
    66,015x = 142,551.50 × 142,551.50
  4. Step 4: Simplify right side
    66,015x = 20,320,930,152.25
  5. Step 5: Solve for x
    x = 20,320,930,152.25/66,015
  6. Step 6: Final answer
    x = 307,822.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.