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Finding the Third Proportional to 53,352 and 145,152

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Solution

The third proportional to 53,352 and 145,152 is: 394,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,352 : 145,152 = 145,152 : x
  2. Step 2: Convert to fraction form
    53,352/145,152 = 145,152/x
  3. Step 3: Cross multiply
    53,352x = 145,152 × 145,152
  4. Step 4: Simplify right side
    53,352x = 21,069,103,104
  5. Step 5: Solve for x
    x = 21,069,103,104/53,352
  6. Step 6: Final answer
    x = 394,907.47

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.