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Finding the Third Proportional to 60,658.50 and 96,894

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Solution

The third proportional to 60,658.50 and 96,894 is: 154,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,658.50 : 96,894 = 96,894 : x
  2. Step 2: Convert to fraction form
    60,658.50/96,894 = 96,894/x
  3. Step 3: Cross multiply
    60,658.50x = 96,894 × 96,894
  4. Step 4: Simplify right side
    60,658.50x = 9,388,447,236
  5. Step 5: Solve for x
    x = 9,388,447,236/60,658.50
  6. Step 6: Final answer
    x = 154,775.46

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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.