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Finding the Third Proportional to 62,550 and 97,065

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Solution

The third proportional to 62,550 and 97,065 is: 150,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,550 : 97,065 = 97,065 : x
  2. Step 2: Convert to fraction form
    62,550/97,065 = 97,065/x
  3. Step 3: Cross multiply
    62,550x = 97,065 × 97,065
  4. Step 4: Simplify right side
    62,550x = 9,421,614,225
  5. Step 5: Solve for x
    x = 9,421,614,225/62,550
  6. Step 6: Final answer
    x = 150,625.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.