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Finding the Third Proportional to 53,653 and 84,938

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Solution

The third proportional to 53,653 and 84,938 is: 134,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,653 : 84,938 = 84,938 : x
  2. Step 2: Convert to fraction form
    53,653/84,938 = 84,938/x
  3. Step 3: Cross multiply
    53,653x = 84,938 × 84,938
  4. Step 4: Simplify right side
    53,653x = 7,214,463,844
  5. Step 5: Solve for x
    x = 7,214,463,844/53,653
  6. Step 6: Final answer
    x = 134,465.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.