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Finding the Third Proportional to 53,720 and 75,516

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Solution

The third proportional to 53,720 and 75,516 is: 106,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,720 : 75,516 = 75,516 : x
  2. Step 2: Convert to fraction form
    53,720/75,516 = 75,516/x
  3. Step 3: Cross multiply
    53,720x = 75,516 × 75,516
  4. Step 4: Simplify right side
    53,720x = 5,702,666,256
  5. Step 5: Solve for x
    x = 5,702,666,256/53,720
  6. Step 6: Final answer
    x = 106,155.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.