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Finding the Third Proportional to 44,160 and 66,560

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Solution

The third proportional to 44,160 and 66,560 is: 100,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,160 : 66,560 = 66,560 : x
  2. Step 2: Convert to fraction form
    44,160/66,560 = 66,560/x
  3. Step 3: Cross multiply
    44,160x = 66,560 × 66,560
  4. Step 4: Simplify right side
    44,160x = 4,430,233,600
  5. Step 5: Solve for x
    x = 4,430,233,600/44,160
  6. Step 6: Final answer
    x = 100,322.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.