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Finding the Third Proportional to 75,310 and 112,973

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Solution

The third proportional to 75,310 and 112,973 is: 169,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,310 : 112,973 = 112,973 : x
  2. Step 2: Convert to fraction form
    75,310/112,973 = 112,973/x
  3. Step 3: Cross multiply
    75,310x = 112,973 × 112,973
  4. Step 4: Simplify right side
    75,310x = 12,762,898,729
  5. Step 5: Solve for x
    x = 12,762,898,729/75,310
  6. Step 6: Final answer
    x = 169,471.50

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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.