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Finding the Third Proportional to 75,306 and 112,968

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Solution

The third proportional to 75,306 and 112,968 is: 169,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,306 : 112,968 = 112,968 : x
  2. Step 2: Convert to fraction form
    75,306/112,968 = 112,968/x
  3. Step 3: Cross multiply
    75,306x = 112,968 × 112,968
  4. Step 4: Simplify right side
    75,306x = 12,761,769,024
  5. Step 5: Solve for x
    x = 12,761,769,024/75,306
  6. Step 6: Final answer
    x = 169,465.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.