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Finding the Third Proportional to 67,312 and 97,835

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Solution

The third proportional to 67,312 and 97,835 is: 142,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,312 : 97,835 = 97,835 : x
  2. Step 2: Convert to fraction form
    67,312/97,835 = 97,835/x
  3. Step 3: Cross multiply
    67,312x = 97,835 × 97,835
  4. Step 4: Simplify right side
    67,312x = 9,571,687,225
  5. Step 5: Solve for x
    x = 9,571,687,225/67,312
  6. Step 6: Final answer
    x = 142,198.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.