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Finding the Third Proportional to 76,595.25 and 112,317

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Solution

The third proportional to 76,595.25 and 112,317 is: 164,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,595.25 : 112,317 = 112,317 : x
  2. Step 2: Convert to fraction form
    76,595.25/112,317 = 112,317/x
  3. Step 3: Cross multiply
    76,595.25x = 112,317 × 112,317
  4. Step 4: Simplify right side
    76,595.25x = 12,615,108,489
  5. Step 5: Solve for x
    x = 12,615,108,489/76,595.25
  6. Step 6: Final answer
    x = 164,698.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.