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Finding the Third Proportional to 60,656.50 and 96,891

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Solution

The third proportional to 60,656.50 and 96,891 is: 154,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,656.50 : 96,891 = 96,891 : x
  2. Step 2: Convert to fraction form
    60,656.50/96,891 = 96,891/x
  3. Step 3: Cross multiply
    60,656.50x = 96,891 × 96,891
  4. Step 4: Simplify right side
    60,656.50x = 9,387,865,881
  5. Step 5: Solve for x
    x = 9,387,865,881/60,656.50
  6. Step 6: Final answer
    x = 154,770.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.