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Finding the Third Proportional to 59,531 and 92,095.50

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Solution

The third proportional to 59,531 and 92,095.50 is: 142,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,531 : 92,095.50 = 92,095.50 : x
  2. Step 2: Convert to fraction form
    59,531/92,095.50 = 92,095.50/x
  3. Step 3: Cross multiply
    59,531x = 92,095.50 × 92,095.50
  4. Step 4: Simplify right side
    59,531x = 8,481,581,120.25
  5. Step 5: Solve for x
    x = 8,481,581,120.25/59,531
  6. Step 6: Final answer
    x = 142,473.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.