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Finding the Third Proportional to 53,973.50 and 75,475.75

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Solution

The third proportional to 53,973.50 and 75,475.75 is: 105,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,973.50 : 75,475.75 = 75,475.75 : x
  2. Step 2: Convert to fraction form
    53,973.50/75,475.75 = 75,475.75/x
  3. Step 3: Cross multiply
    53,973.50x = 75,475.75 × 75,475.75
  4. Step 4: Simplify right side
    53,973.50x = 5,696,588,838.06
  5. Step 5: Solve for x
    x = 5,696,588,838.06/53,973.50
  6. Step 6: Final answer
    x = 105,544.18

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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.