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Finding the Third Proportional to 53,997 and 75,528

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Solution

The third proportional to 53,997 and 75,528 is: 105,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,997 : 75,528 = 75,528 : x
  2. Step 2: Convert to fraction form
    53,997/75,528 = 75,528/x
  3. Step 3: Cross multiply
    53,997x = 75,528 × 75,528
  4. Step 4: Simplify right side
    53,997x = 5,704,478,784
  5. Step 5: Solve for x
    x = 5,704,478,784/53,997
  6. Step 6: Final answer
    x = 105,644.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.