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Finding the Third Proportional to 69,065 and 97,484.75

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Solution

The third proportional to 69,065 and 97,484.75 is: 137,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,065 : 97,484.75 = 97,484.75 : x
  2. Step 2: Convert to fraction form
    69,065/97,484.75 = 97,484.75/x
  3. Step 3: Cross multiply
    69,065x = 97,484.75 × 97,484.75
  4. Step 4: Simplify right side
    69,065x = 9,503,276,482.56
  5. Step 5: Solve for x
    x = 9,503,276,482.56/69,065
  6. Step 6: Final answer
    x = 137,599.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.