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Finding the Third Proportional to 71,569 and 107,326.50

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Solution

The third proportional to 71,569 and 107,326.50 is: 160,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,569 : 107,326.50 = 107,326.50 : x
  2. Step 2: Convert to fraction form
    71,569/107,326.50 = 107,326.50/x
  3. Step 3: Cross multiply
    71,569x = 107,326.50 × 107,326.50
  4. Step 4: Simplify right side
    71,569x = 11,518,977,602.25
  5. Step 5: Solve for x
    x = 11,518,977,602.25/71,569
  6. Step 6: Final answer
    x = 160,949.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.