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Finding the Third Proportional to 62,699 and 96,017

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Solution

The third proportional to 62,699 and 96,017 is: 147,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,699 : 96,017 = 96,017 : x
  2. Step 2: Convert to fraction form
    62,699/96,017 = 96,017/x
  3. Step 3: Cross multiply
    62,699x = 96,017 × 96,017
  4. Step 4: Simplify right side
    62,699x = 9,219,264,289
  5. Step 5: Solve for x
    x = 9,219,264,289/62,699
  6. Step 6: Final answer
    x = 147,040.05

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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.