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Finding the Third Proportional to 57,582 and 88,834

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Solution

The third proportional to 57,582 and 88,834 is: 137,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582 : 88,834 = 88,834 : x
  2. Step 2: Convert to fraction form
    57,582/88,834 = 88,834/x
  3. Step 3: Cross multiply
    57,582x = 88,834 × 88,834
  4. Step 4: Simplify right side
    57,582x = 7,891,479,556
  5. Step 5: Solve for x
    x = 7,891,479,556/57,582
  6. Step 6: Final answer
    x = 137,047.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.