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Finding the Third Proportional to 71,574 and 97,205

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Solution

The third proportional to 71,574 and 97,205 is: 132,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574 : 97,205 = 97,205 : x
  2. Step 2: Convert to fraction form
    71,574/97,205 = 97,205/x
  3. Step 3: Cross multiply
    71,574x = 97,205 × 97,205
  4. Step 4: Simplify right side
    71,574x = 9,448,812,025
  5. Step 5: Solve for x
    x = 9,448,812,025/71,574
  6. Step 6: Final answer
    x = 132,014.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.