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Finding the Third Proportional to 67,430 and 101,991

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Solution

The third proportional to 67,430 and 101,991 is: 154,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,430 : 101,991 = 101,991 : x
  2. Step 2: Convert to fraction form
    67,430/101,991 = 101,991/x
  3. Step 3: Cross multiply
    67,430x = 101,991 × 101,991
  4. Step 4: Simplify right side
    67,430x = 10,402,164,081
  5. Step 5: Solve for x
    x = 10,402,164,081/67,430
  6. Step 6: Final answer
    x = 154,266.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.