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Finding the Third Proportional to 32,053 and 69,938

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Solution

The third proportional to 32,053 and 69,938 is: 152,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053 : 69,938 = 69,938 : x
  2. Step 2: Convert to fraction form
    32,053/69,938 = 69,938/x
  3. Step 3: Cross multiply
    32,053x = 69,938 × 69,938
  4. Step 4: Simplify right side
    32,053x = 4,891,323,844
  5. Step 5: Solve for x
    x = 4,891,323,844/32,053
  6. Step 6: Final answer
    x = 152,601.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.