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Finding the Third Proportional to 75,748 and 112,164

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Solution

The third proportional to 75,748 and 112,164 is: 166,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,748 : 112,164 = 112,164 : x
  2. Step 2: Convert to fraction form
    75,748/112,164 = 112,164/x
  3. Step 3: Cross multiply
    75,748x = 112,164 × 112,164
  4. Step 4: Simplify right side
    75,748x = 12,580,762,896
  5. Step 5: Solve for x
    x = 12,580,762,896/75,748
  6. Step 6: Final answer
    x = 166,087.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.