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Finding the Third Proportional to 97,047 and 161,052

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Solution

The third proportional to 97,047 and 161,052 is: 267,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,047 : 161,052 = 161,052 : x
  2. Step 2: Convert to fraction form
    97,047/161,052 = 161,052/x
  3. Step 3: Cross multiply
    97,047x = 161,052 × 161,052
  4. Step 4: Simplify right side
    97,047x = 25,937,746,704
  5. Step 5: Solve for x
    x = 25,937,746,704/97,047
  6. Step 6: Final answer
    x = 267,269.95

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.