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Finding the Third Proportional to 62,989 and 96,314.50

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Solution

The third proportional to 62,989 and 96,314.50 is: 147,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,989 : 96,314.50 = 96,314.50 : x
  2. Step 2: Convert to fraction form
    62,989/96,314.50 = 96,314.50/x
  3. Step 3: Cross multiply
    62,989x = 96,314.50 × 96,314.50
  4. Step 4: Simplify right side
    62,989x = 9,276,482,910.25
  5. Step 5: Solve for x
    x = 9,276,482,910.25/62,989
  6. Step 6: Final answer
    x = 147,271.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.