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Finding the Third Proportional to 53,235 and 79,854

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Solution

The third proportional to 53,235 and 79,854 is: 119,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,235 : 79,854 = 79,854 : x
  2. Step 2: Convert to fraction form
    53,235/79,854 = 79,854/x
  3. Step 3: Cross multiply
    53,235x = 79,854 × 79,854
  4. Step 4: Simplify right side
    53,235x = 6,376,661,316
  5. Step 5: Solve for x
    x = 6,376,661,316/53,235
  6. Step 6: Final answer
    x = 119,783.25

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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.