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Finding the Third Proportional to 66,550 and 97,880

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Solution

The third proportional to 66,550 and 97,880 is: 143,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,550 : 97,880 = 97,880 : x
  2. Step 2: Convert to fraction form
    66,550/97,880 = 97,880/x
  3. Step 3: Cross multiply
    66,550x = 97,880 × 97,880
  4. Step 4: Simplify right side
    66,550x = 9,580,494,400
  5. Step 5: Solve for x
    x = 9,580,494,400/66,550
  6. Step 6: Final answer
    x = 143,959.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.