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Finding the Third Proportional to 115,428 and 173,904

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Solution

The third proportional to 115,428 and 173,904 is: 262,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,428 : 173,904 = 173,904 : x
  2. Step 2: Convert to fraction form
    115,428/173,904 = 173,904/x
  3. Step 3: Cross multiply
    115,428x = 173,904 × 173,904
  4. Step 4: Simplify right side
    115,428x = 30,242,601,216
  5. Step 5: Solve for x
    x = 30,242,601,216/115,428
  6. Step 6: Final answer
    x = 262,004.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.