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Finding the Third Proportional to 82,023 and 118,537.50

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Solution

The third proportional to 82,023 and 118,537.50 is: 171,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023 : 118,537.50 = 118,537.50 : x
  2. Step 2: Convert to fraction form
    82,023/118,537.50 = 118,537.50/x
  3. Step 3: Cross multiply
    82,023x = 118,537.50 × 118,537.50
  4. Step 4: Simplify right side
    82,023x = 14,051,138,906.25
  5. Step 5: Solve for x
    x = 14,051,138,906.25/82,023
  6. Step 6: Final answer
    x = 171,307.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.