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Finding the Third Proportional to 53,973 and 75,496.50

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Solution

The third proportional to 53,973 and 75,496.50 is: 105,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,973 : 75,496.50 = 75,496.50 : x
  2. Step 2: Convert to fraction form
    53,973/75,496.50 = 75,496.50/x
  3. Step 3: Cross multiply
    53,973x = 75,496.50 × 75,496.50
  4. Step 4: Simplify right side
    53,973x = 5,699,721,512.25
  5. Step 5: Solve for x
    x = 5,699,721,512.25/53,973
  6. Step 6: Final answer
    x = 105,603.20

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Why These Related Problems?

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