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Finding the Third Proportional to 115,844 and 172,746

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Solution

The third proportional to 115,844 and 172,746 is: 257,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,844 : 172,746 = 172,746 : x
  2. Step 2: Convert to fraction form
    115,844/172,746 = 172,746/x
  3. Step 3: Cross multiply
    115,844x = 172,746 × 172,746
  4. Step 4: Simplify right side
    115,844x = 29,841,180,516
  5. Step 5: Solve for x
    x = 29,841,180,516/115,844
  6. Step 6: Final answer
    x = 257,597.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.