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Finding the Third Proportional to 53,358.75 and 79,897.50

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Solution

The third proportional to 53,358.75 and 79,897.50 is: 119,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,358.75 : 79,897.50 = 79,897.50 : x
  2. Step 2: Convert to fraction form
    53,358.75/79,897.50 = 79,897.50/x
  3. Step 3: Cross multiply
    53,358.75x = 79,897.50 × 79,897.50
  4. Step 4: Simplify right side
    53,358.75x = 6,383,610,506.25
  5. Step 5: Solve for x
    x = 6,383,610,506.25/53,358.75
  6. Step 6: Final answer
    x = 119,635.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.