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Finding the Third Proportional to 66,513 and 103,267.88

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Solution

The third proportional to 66,513 and 103,267.88 is: 160,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,513 : 103,267.88 = 103,267.88 : x
  2. Step 2: Convert to fraction form
    66,513/103,267.88 = 103,267.88/x
  3. Step 3: Cross multiply
    66,513x = 103,267.88 × 103,267.88
  4. Step 4: Simplify right side
    66,513x = 10,664,254,007.02
  5. Step 5: Solve for x
    x = 10,664,254,007.02/66,513
  6. Step 6: Final answer
    x = 160,333.38

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