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Finding the Third Proportional to 66,980.25 and 103,666.50

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Solution

The third proportional to 66,980.25 and 103,666.50 is: 160,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,980.25 : 103,666.50 = 103,666.50 : x
  2. Step 2: Convert to fraction form
    66,980.25/103,666.50 = 103,666.50/x
  3. Step 3: Cross multiply
    66,980.25x = 103,666.50 × 103,666.50
  4. Step 4: Simplify right side
    66,980.25x = 10,746,743,222.25
  5. Step 5: Solve for x
    x = 10,746,743,222.25/66,980.25
  6. Step 6: Final answer
    x = 160,446.45

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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.