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Finding the Third Proportional to 69,012 and 97,158

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Solution

The third proportional to 69,012 and 97,158 is: 136,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,012 : 97,158 = 97,158 : x
  2. Step 2: Convert to fraction form
    69,012/97,158 = 97,158/x
  3. Step 3: Cross multiply
    69,012x = 97,158 × 97,158
  4. Step 4: Simplify right side
    69,012x = 9,439,676,964
  5. Step 5: Solve for x
    x = 9,439,676,964/69,012
  6. Step 6: Final answer
    x = 136,783.12

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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.