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Finding the Third Proportional to 53,594 and 81,639

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Solution

The third proportional to 53,594 and 81,639 is: 124,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,594 : 81,639 = 81,639 : x
  2. Step 2: Convert to fraction form
    53,594/81,639 = 81,639/x
  3. Step 3: Cross multiply
    53,594x = 81,639 × 81,639
  4. Step 4: Simplify right side
    53,594x = 6,664,926,321
  5. Step 5: Solve for x
    x = 6,664,926,321/53,594
  6. Step 6: Final answer
    x = 124,359.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.