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Finding the Third Proportional to 62,730 and 94,086

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Solution

The third proportional to 62,730 and 94,086 is: 141,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,730 : 94,086 = 94,086 : x
  2. Step 2: Convert to fraction form
    62,730/94,086 = 94,086/x
  3. Step 3: Cross multiply
    62,730x = 94,086 × 94,086
  4. Step 4: Simplify right side
    62,730x = 8,852,175,396
  5. Step 5: Solve for x
    x = 8,852,175,396/62,730
  6. Step 6: Final answer
    x = 141,115.50

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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.