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Finding the Third Proportional to 74,697 and 118,335

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Solution

The third proportional to 74,697 and 118,335 is: 187,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,697 : 118,335 = 118,335 : x
  2. Step 2: Convert to fraction form
    74,697/118,335 = 118,335/x
  3. Step 3: Cross multiply
    74,697x = 118,335 × 118,335
  4. Step 4: Simplify right side
    74,697x = 14,003,172,225
  5. Step 5: Solve for x
    x = 14,003,172,225/74,697
  6. Step 6: Final answer
    x = 187,466.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.