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Finding the Third Proportional to 53,152 and 84,592

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Solution

The third proportional to 53,152 and 84,592 is: 134,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,152 : 84,592 = 84,592 : x
  2. Step 2: Convert to fraction form
    53,152/84,592 = 84,592/x
  3. Step 3: Cross multiply
    53,152x = 84,592 × 84,592
  4. Step 4: Simplify right side
    53,152x = 7,155,806,464
  5. Step 5: Solve for x
    x = 7,155,806,464/53,152
  6. Step 6: Final answer
    x = 134,629.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.