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Finding the Third Proportional to 75,808 and 118,688

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Solution

The third proportional to 75,808 and 118,688 is: 185,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,808 : 118,688 = 118,688 : x
  2. Step 2: Convert to fraction form
    75,808/118,688 = 118,688/x
  3. Step 3: Cross multiply
    75,808x = 118,688 × 118,688
  4. Step 4: Simplify right side
    75,808x = 14,086,841,344
  5. Step 5: Solve for x
    x = 14,086,841,344/75,808
  6. Step 6: Final answer
    x = 185,822.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.