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Finding the Third Proportional to 116,925 and 252,533

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Solution

The third proportional to 116,925 and 252,533 is: 545,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,925 : 252,533 = 252,533 : x
  2. Step 2: Convert to fraction form
    116,925/252,533 = 252,533/x
  3. Step 3: Cross multiply
    116,925x = 252,533 × 252,533
  4. Step 4: Simplify right side
    116,925x = 63,772,916,089
  5. Step 5: Solve for x
    x = 63,772,916,089/116,925
  6. Step 6: Final answer
    x = 545,417.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.