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Finding the Third Proportional to 53,833 and 81,913.50

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Solution

The third proportional to 53,833 and 81,913.50 is: 124,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,833 : 81,913.50 = 81,913.50 : x
  2. Step 2: Convert to fraction form
    53,833/81,913.50 = 81,913.50/x
  3. Step 3: Cross multiply
    53,833x = 81,913.50 × 81,913.50
  4. Step 4: Simplify right side
    53,833x = 6,709,821,482.25
  5. Step 5: Solve for x
    x = 6,709,821,482.25/53,833
  6. Step 6: Final answer
    x = 124,641.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.