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Finding the Third Proportional to 53,468.50 and 74,751.50

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Solution

The third proportional to 53,468.50 and 74,751.50 is: 104,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,468.50 : 74,751.50 = 74,751.50 : x
  2. Step 2: Convert to fraction form
    53,468.50/74,751.50 = 74,751.50/x
  3. Step 3: Cross multiply
    53,468.50x = 74,751.50 × 74,751.50
  4. Step 4: Simplify right side
    53,468.50x = 5,587,786,752.25
  5. Step 5: Solve for x
    x = 5,587,786,752.25/53,468.50
  6. Step 6: Final answer
    x = 104,506.14

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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.