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Finding the Third Proportional to 60,878.50 and 91,070

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Solution

The third proportional to 60,878.50 and 91,070 is: 136,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,878.50 : 91,070 = 91,070 : x
  2. Step 2: Convert to fraction form
    60,878.50/91,070 = 91,070/x
  3. Step 3: Cross multiply
    60,878.50x = 91,070 × 91,070
  4. Step 4: Simplify right side
    60,878.50x = 8,293,744,900
  5. Step 5: Solve for x
    x = 8,293,744,900/60,878.50
  6. Step 6: Final answer
    x = 136,234.38

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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.